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Finding the Third Proportional to 152,934 and 329,304

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Solution

The third proportional to 152,934 and 329,304 is: 709,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,934 : 329,304 = 329,304 : x
  2. Step 2: Convert to fraction form
    152,934/329,304 = 329,304/x
  3. Step 3: Cross multiply
    152,934x = 329,304 × 329,304
  4. Step 4: Simplify right side
    152,934x = 108,441,124,416
  5. Step 5: Solve for x
    x = 108,441,124,416/152,934
  6. Step 6: Final answer
    x = 709,071.39

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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.