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Finding the Third Proportional to 160,498 and 338,901

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Solution

The third proportional to 160,498 and 338,901 is: 715,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,498 : 338,901 = 338,901 : x
  2. Step 2: Convert to fraction form
    160,498/338,901 = 338,901/x
  3. Step 3: Cross multiply
    160,498x = 338,901 × 338,901
  4. Step 4: Simplify right side
    160,498x = 114,853,887,801
  5. Step 5: Solve for x
    x = 114,853,887,801/160,498
  6. Step 6: Final answer
    x = 715,609.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.