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Finding the Third Proportional to 135,582 and 316,725

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Solution

The third proportional to 135,582 and 316,725 is: 739,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,582 : 316,725 = 316,725 : x
  2. Step 2: Convert to fraction form
    135,582/316,725 = 316,725/x
  3. Step 3: Cross multiply
    135,582x = 316,725 × 316,725
  4. Step 4: Simplify right side
    135,582x = 100,314,725,625
  5. Step 5: Solve for x
    x = 100,314,725,625/135,582
  6. Step 6: Final answer
    x = 739,882.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.