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Finding the Third Proportional to 135,008 and 312,554

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Solution

The third proportional to 135,008 and 312,554 is: 723,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,008 : 312,554 = 312,554 : x
  2. Step 2: Convert to fraction form
    135,008/312,554 = 312,554/x
  3. Step 3: Cross multiply
    135,008x = 312,554 × 312,554
  4. Step 4: Simplify right side
    135,008x = 97,690,002,916
  5. Step 5: Solve for x
    x = 97,690,002,916/135,008
  6. Step 6: Final answer
    x = 723,586.77

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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.