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Finding the Third Proportional to 156,468 and 337,880

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Solution

The third proportional to 156,468 and 337,880 is: 729,624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,468 : 337,880 = 337,880 : x
  2. Step 2: Convert to fraction form
    156,468/337,880 = 337,880/x
  3. Step 3: Cross multiply
    156,468x = 337,880 × 337,880
  4. Step 4: Simplify right side
    156,468x = 114,162,894,400
  5. Step 5: Solve for x
    x = 114,162,894,400/156,468
  6. Step 6: Final answer
    x = 729,624.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.