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Finding the Third Proportional to 182,902 and 260,744

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Solution

The third proportional to 182,902 and 260,744 is: 371,715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,902 : 260,744 = 260,744 : x
  2. Step 2: Convert to fraction form
    182,902/260,744 = 260,744/x
  3. Step 3: Cross multiply
    182,902x = 260,744 × 260,744
  4. Step 4: Simplify right side
    182,902x = 67,987,433,536
  5. Step 5: Solve for x
    x = 67,987,433,536/182,902
  6. Step 6: Final answer
    x = 371,715.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.