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Finding the Third Proportional to 155,967.75 and 247,924.13

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Solution

The third proportional to 155,967.75 and 247,924.13 is: 394,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,967.75 : 247,924.13 = 247,924.13 : x
  2. Step 2: Convert to fraction form
    155,967.75/247,924.13 = 247,924.13/x
  3. Step 3: Cross multiply
    155,967.75x = 247,924.13 × 247,924.13
  4. Step 4: Simplify right side
    155,967.75x = 61,466,371,757.02
  5. Step 5: Solve for x
    x = 61,466,371,757.02/155,967.75
  6. Step 6: Final answer
    x = 394,096.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.