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Finding the Third Proportional to 175,513.50 and 260,686.50

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Solution

The third proportional to 175,513.50 and 260,686.50 is: 387,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,513.50 : 260,686.50 = 260,686.50 : x
  2. Step 2: Convert to fraction form
    175,513.50/260,686.50 = 260,686.50/x
  3. Step 3: Cross multiply
    175,513.50x = 260,686.50 × 260,686.50
  4. Step 4: Simplify right side
    175,513.50x = 67,957,451,282.25
  5. Step 5: Solve for x
    x = 67,957,451,282.25/175,513.50
  6. Step 6: Final answer
    x = 387,192.16

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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.