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Finding the Third Proportional to 135,586 and 316,733

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Solution

The third proportional to 135,586 and 316,733 is: 739,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,586 : 316,733 = 316,733 : x
  2. Step 2: Convert to fraction form
    135,586/316,733 = 316,733/x
  3. Step 3: Cross multiply
    135,586x = 316,733 × 316,733
  4. Step 4: Simplify right side
    135,586x = 100,319,793,289
  5. Step 5: Solve for x
    x = 100,319,793,289/135,586
  6. Step 6: Final answer
    x = 739,897.88

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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.