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Finding the Third Proportional to 153,984 and 329,249

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Solution

The third proportional to 153,984 and 329,249 is: 704,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,984 : 329,249 = 329,249 : x
  2. Step 2: Convert to fraction form
    153,984/329,249 = 329,249/x
  3. Step 3: Cross multiply
    153,984x = 329,249 × 329,249
  4. Step 4: Simplify right side
    153,984x = 108,404,904,001
  5. Step 5: Solve for x
    x = 108,404,904,001/153,984
  6. Step 6: Final answer
    x = 704,001.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.