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Finding the Third Proportional to 230,095.13 and 496,941.75

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Solution

The third proportional to 230,095.13 and 496,941.75 is: 1,073,256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,095.13 : 496,941.75 = 496,941.75 : x
  2. Step 2: Convert to fraction form
    230,095.13/496,941.75 = 496,941.75/x
  3. Step 3: Cross multiply
    230,095.13x = 496,941.75 × 496,941.75
  4. Step 4: Simplify right side
    230,095.13x = 246,951,102,893.06
  5. Step 5: Solve for x
    x = 246,951,102,893.06/230,095.13
  6. Step 6: Final answer
    x = 1,073,256.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.