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Finding the Third Proportional to 175,498 and 379,017

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Solution

The third proportional to 175,498 and 379,017 is: 818,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,498 : 379,017 = 379,017 : x
  2. Step 2: Convert to fraction form
    175,498/379,017 = 379,017/x
  3. Step 3: Cross multiply
    175,498x = 379,017 × 379,017
  4. Step 4: Simplify right side
    175,498x = 143,653,886,289
  5. Step 5: Solve for x
    x = 143,653,886,289/175,498
  6. Step 6: Final answer
    x = 818,549.99

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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.