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Finding the Third Proportional to 194,498 and 418,564

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Solution

The third proportional to 194,498 and 418,564 is: 900,758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,498 : 418,564 = 418,564 : x
  2. Step 2: Convert to fraction form
    194,498/418,564 = 418,564/x
  3. Step 3: Cross multiply
    194,498x = 418,564 × 418,564
  4. Step 4: Simplify right side
    194,498x = 175,195,822,096
  5. Step 5: Solve for x
    x = 175,195,822,096/194,498
  6. Step 6: Final answer
    x = 900,758.99

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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.