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Finding the Third Proportional to 138,531 and 302,982

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Solution

The third proportional to 138,531 and 302,982 is: 662,653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,531 : 302,982 = 302,982 : x
  2. Step 2: Convert to fraction form
    138,531/302,982 = 302,982/x
  3. Step 3: Cross multiply
    138,531x = 302,982 × 302,982
  4. Step 4: Simplify right side
    138,531x = 91,798,092,324
  5. Step 5: Solve for x
    x = 91,798,092,324/138,531
  6. Step 6: Final answer
    x = 662,653.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.