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Finding the Third Proportional to 152,937 and 316,626

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Solution

The third proportional to 152,937 and 316,626 is: 655,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,937 : 316,626 = 316,626 : x
  2. Step 2: Convert to fraction form
    152,937/316,626 = 316,626/x
  3. Step 3: Cross multiply
    152,937x = 316,626 × 316,626
  4. Step 4: Simplify right side
    152,937x = 100,252,023,876
  5. Step 5: Solve for x
    x = 100,252,023,876/152,937
  6. Step 6: Final answer
    x = 655,511.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.