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Finding the Third Proportional to 152,624 and 331,516

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Solution

The third proportional to 152,624 and 331,516 is: 720,088.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,624 : 331,516 = 331,516 : x
  2. Step 2: Convert to fraction form
    152,624/331,516 = 331,516/x
  3. Step 3: Cross multiply
    152,624x = 331,516 × 331,516
  4. Step 4: Simplify right side
    152,624x = 109,902,858,256
  5. Step 5: Solve for x
    x = 109,902,858,256/152,624
  6. Step 6: Final answer
    x = 720,088.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.