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Finding the Third Proportional to 175,514 and 379,048

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Solution

The third proportional to 175,514 and 379,048 is: 818,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,514 : 379,048 = 379,048 : x
  2. Step 2: Convert to fraction form
    175,514/379,048 = 379,048/x
  3. Step 3: Cross multiply
    175,514x = 379,048 × 379,048
  4. Step 4: Simplify right side
    175,514x = 143,677,386,304
  5. Step 5: Solve for x
    x = 143,677,386,304/175,514
  6. Step 6: Final answer
    x = 818,609.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.