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Finding the Third Proportional to 155,464 and 329,612

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Solution

The third proportional to 155,464 and 329,612 is: 698,837.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,464 : 329,612 = 329,612 : x
  2. Step 2: Convert to fraction form
    155,464/329,612 = 329,612/x
  3. Step 3: Cross multiply
    155,464x = 329,612 × 329,612
  4. Step 4: Simplify right side
    155,464x = 108,644,070,544
  5. Step 5: Solve for x
    x = 108,644,070,544/155,464
  6. Step 6: Final answer
    x = 698,837.48

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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.