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Finding the Third Proportional to 194,672 and 418,448

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Solution

The third proportional to 194,672 and 418,448 is: 899,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,672 : 418,448 = 418,448 : x
  2. Step 2: Convert to fraction form
    194,672/418,448 = 418,448/x
  3. Step 3: Cross multiply
    194,672x = 418,448 × 418,448
  4. Step 4: Simplify right side
    194,672x = 175,098,728,704
  5. Step 5: Solve for x
    x = 175,098,728,704/194,672
  6. Step 6: Final answer
    x = 899,455.13

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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.