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Finding the Third Proportional to 131,498 and 213,641

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Solution

The third proportional to 131,498 and 213,641 is: 347,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,498 : 213,641 = 213,641 : x
  2. Step 2: Convert to fraction form
    131,498/213,641 = 213,641/x
  3. Step 3: Cross multiply
    131,498x = 213,641 × 213,641
  4. Step 4: Simplify right side
    131,498x = 45,642,476,881
  5. Step 5: Solve for x
    x = 45,642,476,881/131,498
  6. Step 6: Final answer
    x = 347,096.36

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.