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Finding the Third Proportional to 109,245.66 and 238,350.56

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Solution

The third proportional to 109,245.66 and 238,350.56 is: 520,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,245.66 : 238,350.56 = 238,350.56 : x
  2. Step 2: Convert to fraction form
    109,245.66/238,350.56 = 238,350.56/x
  3. Step 3: Cross multiply
    109,245.66x = 238,350.56 × 238,350.56
  4. Step 4: Simplify right side
    109,245.66x = 56,810,990,644.07
  5. Step 5: Solve for x
    x = 56,810,990,644.07/109,245.66
  6. Step 6: Final answer
    x = 520,029.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.