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Finding the Third Proportional to 135,931 and 316,034

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Solution

The third proportional to 135,931 and 316,034 is: 734,766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,931 : 316,034 = 316,034 : x
  2. Step 2: Convert to fraction form
    135,931/316,034 = 316,034/x
  3. Step 3: Cross multiply
    135,931x = 316,034 × 316,034
  4. Step 4: Simplify right side
    135,931x = 99,877,489,156
  5. Step 5: Solve for x
    x = 99,877,489,156/135,931
  6. Step 6: Final answer
    x = 734,766.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.