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Finding the Third Proportional to 156,252 and 338,424

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Solution

The third proportional to 156,252 and 338,424 is: 732,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,252 : 338,424 = 338,424 : x
  2. Step 2: Convert to fraction form
    156,252/338,424 = 338,424/x
  3. Step 3: Cross multiply
    156,252x = 338,424 × 338,424
  4. Step 4: Simplify right side
    156,252x = 114,530,803,776
  5. Step 5: Solve for x
    x = 114,530,803,776/156,252
  6. Step 6: Final answer
    x = 732,987.76

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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.