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Finding the Third Proportional to 106,644 and 246,882

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Solution

The third proportional to 106,644 and 246,882 is: 571,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,644 : 246,882 = 246,882 : x
  2. Step 2: Convert to fraction form
    106,644/246,882 = 246,882/x
  3. Step 3: Cross multiply
    106,644x = 246,882 × 246,882
  4. Step 4: Simplify right side
    106,644x = 60,950,721,924
  5. Step 5: Solve for x
    x = 60,950,721,924/106,644
  6. Step 6: Final answer
    x = 571,534.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.