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Finding the Third Proportional to 159,447 and 338,334

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Solution

The third proportional to 159,447 and 338,334 is: 717,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,447 : 338,334 = 338,334 : x
  2. Step 2: Convert to fraction form
    159,447/338,334 = 338,334/x
  3. Step 3: Cross multiply
    159,447x = 338,334 × 338,334
  4. Step 4: Simplify right side
    159,447x = 114,469,895,556
  5. Step 5: Solve for x
    x = 114,469,895,556/159,447
  6. Step 6: Final answer
    x = 717,918.15

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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.