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Finding the Third Proportional to 159,456 and 338,348

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Solution

The third proportional to 159,456 and 338,348 is: 717,937.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,456 : 338,348 = 338,348 : x
  2. Step 2: Convert to fraction form
    159,456/338,348 = 338,348/x
  3. Step 3: Cross multiply
    159,456x = 338,348 × 338,348
  4. Step 4: Simplify right side
    159,456x = 114,479,369,104
  5. Step 5: Solve for x
    x = 114,479,369,104/159,456
  6. Step 6: Final answer
    x = 717,937.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.