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Finding the Third Proportional to 165,542.50 and 256,277.50

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Solution

The third proportional to 165,542.50 and 256,277.50 is: 396,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,542.50 : 256,277.50 = 256,277.50 : x
  2. Step 2: Convert to fraction form
    165,542.50/256,277.50 = 256,277.50/x
  3. Step 3: Cross multiply
    165,542.50x = 256,277.50 × 256,277.50
  4. Step 4: Simplify right side
    165,542.50x = 65,678,157,006.25
  5. Step 5: Solve for x
    x = 65,678,157,006.25/165,542.50
  6. Step 6: Final answer
    x = 396,744.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.