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Finding the Third Proportional to 176,557.50 and 261,402.75

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Solution

The third proportional to 176,557.50 and 261,402.75 is: 387,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,557.50 : 261,402.75 = 261,402.75 : x
  2. Step 2: Convert to fraction form
    176,557.50/261,402.75 = 261,402.75/x
  3. Step 3: Cross multiply
    176,557.50x = 261,402.75 × 261,402.75
  4. Step 4: Simplify right side
    176,557.50x = 68,331,397,707.56
  5. Step 5: Solve for x
    x = 68,331,397,707.56/176,557.50
  6. Step 6: Final answer
    x = 387,020.65

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.