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Finding the Third Proportional to 118,853 and 261,031

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Solution

The third proportional to 118,853 and 261,031 is: 573,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,853 : 261,031 = 261,031 : x
  2. Step 2: Convert to fraction form
    118,853/261,031 = 261,031/x
  3. Step 3: Cross multiply
    118,853x = 261,031 × 261,031
  4. Step 4: Simplify right side
    118,853x = 68,137,182,961
  5. Step 5: Solve for x
    x = 68,137,182,961/118,853
  6. Step 6: Final answer
    x = 573,289.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.