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Finding the Third Proportional to 174,988.13 and 256,740.75

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Solution

The third proportional to 174,988.13 and 256,740.75 is: 376,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,988.13 : 256,740.75 = 256,740.75 : x
  2. Step 2: Convert to fraction form
    174,988.13/256,740.75 = 256,740.75/x
  3. Step 3: Cross multiply
    174,988.13x = 256,740.75 × 256,740.75
  4. Step 4: Simplify right side
    174,988.13x = 65,915,812,710.56
  5. Step 5: Solve for x
    x = 65,915,812,710.56/174,988.13
  6. Step 6: Final answer
    x = 376,687.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.