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Finding the Third Proportional to 259,174 and 386,762

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Solution

The third proportional to 259,174 and 386,762 is: 577,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,174 : 386,762 = 386,762 : x
  2. Step 2: Convert to fraction form
    259,174/386,762 = 386,762/x
  3. Step 3: Cross multiply
    259,174x = 386,762 × 386,762
  4. Step 4: Simplify right side
    259,174x = 149,584,844,644
  5. Step 5: Solve for x
    x = 149,584,844,644/259,174
  6. Step 6: Final answer
    x = 577,159.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.