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Finding the Third Proportional to 150,834 and 297,860

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Solution

The third proportional to 150,834 and 297,860 is: 588,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,834 : 297,860 = 297,860 : x
  2. Step 2: Convert to fraction form
    150,834/297,860 = 297,860/x
  3. Step 3: Cross multiply
    150,834x = 297,860 × 297,860
  4. Step 4: Simplify right side
    150,834x = 88,720,579,600
  5. Step 5: Solve for x
    x = 88,720,579,600/150,834
  6. Step 6: Final answer
    x = 588,200.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.