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Finding the Third Proportional to 171,469.13 and 260,623.13

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Solution

The third proportional to 171,469.13 and 260,623.13 is: 396,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,469.13 : 260,623.13 = 260,623.13 : x
  2. Step 2: Convert to fraction form
    171,469.13/260,623.13 = 260,623.13/x
  3. Step 3: Cross multiply
    171,469.13x = 260,623.13 × 260,623.13
  4. Step 4: Simplify right side
    171,469.13x = 67,924,413,284.77
  5. Step 5: Solve for x
    x = 67,924,413,284.77/171,469.13
  6. Step 6: Final answer
    x = 396,132.03

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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.