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Finding the Third Proportional to 175,496 and 379,013

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Solution

The third proportional to 175,496 and 379,013 is: 818,542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,496 : 379,013 = 379,013 : x
  2. Step 2: Convert to fraction form
    175,496/379,013 = 379,013/x
  3. Step 3: Cross multiply
    175,496x = 379,013 × 379,013
  4. Step 4: Simplify right side
    175,496x = 143,650,854,169
  5. Step 5: Solve for x
    x = 143,650,854,169/175,496
  6. Step 6: Final answer
    x = 818,542.04

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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.