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Finding the Third Proportional to 171,471.38 and 260,626.50

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Solution

The third proportional to 171,471.38 and 260,626.50 is: 396,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,471.38 : 260,626.50 = 260,626.50 : x
  2. Step 2: Convert to fraction form
    171,471.38/260,626.50 = 260,626.50/x
  3. Step 3: Cross multiply
    171,471.38x = 260,626.50 × 260,626.50
  4. Step 4: Simplify right side
    171,471.38x = 67,926,172,502.25
  5. Step 5: Solve for x
    x = 67,926,172,502.25/171,471.38
  6. Step 6: Final answer
    x = 396,137.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.