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Finding the Third Proportional to 141,646 and 304,344

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Solution

The third proportional to 141,646 and 304,344 is: 653,920.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,646 : 304,344 = 304,344 : x
  2. Step 2: Convert to fraction form
    141,646/304,344 = 304,344/x
  3. Step 3: Cross multiply
    141,646x = 304,344 × 304,344
  4. Step 4: Simplify right side
    141,646x = 92,625,270,336
  5. Step 5: Solve for x
    x = 92,625,270,336/141,646
  6. Step 6: Final answer
    x = 653,920.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.