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Finding the Third Proportional to 172,366.50 and 257,513.25

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Solution

The third proportional to 172,366.50 and 257,513.25 is: 384,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,366.50 : 257,513.25 = 257,513.25 : x
  2. Step 2: Convert to fraction form
    172,366.50/257,513.25 = 257,513.25/x
  3. Step 3: Cross multiply
    172,366.50x = 257,513.25 × 257,513.25
  4. Step 4: Simplify right side
    172,366.50x = 66,313,073,925.56
  5. Step 5: Solve for x
    x = 66,313,073,925.56/172,366.50
  6. Step 6: Final answer
    x = 384,721.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.