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Finding the Third Proportional to 246,723.75 and 369,095.63

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Solution

The third proportional to 246,723.75 and 369,095.63 is: 552,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,723.75 : 369,095.63 = 369,095.63 : x
  2. Step 2: Convert to fraction form
    246,723.75/369,095.63 = 369,095.63/x
  3. Step 3: Cross multiply
    246,723.75x = 369,095.63 × 369,095.63
  4. Step 4: Simplify right side
    246,723.75x = 136,231,580,394.14
  5. Step 5: Solve for x
    x = 136,231,580,394.14/246,723.75
  6. Step 6: Final answer
    x = 552,162.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.