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Finding the Third Proportional to 159,437 and 338,314

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Solution

The third proportional to 159,437 and 338,314 is: 717,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,437 : 338,314 = 338,314 : x
  2. Step 2: Convert to fraction form
    159,437/338,314 = 338,314/x
  3. Step 3: Cross multiply
    159,437x = 338,314 × 338,314
  4. Step 4: Simplify right side
    159,437x = 114,456,362,596
  5. Step 5: Solve for x
    x = 114,456,362,596/159,437
  6. Step 6: Final answer
    x = 717,878.30

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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.