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Finding the Third Proportional to 191,727 and 418,446

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Solution

The third proportional to 191,727 and 418,446 is: 913,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,727 : 418,446 = 418,446 : x
  2. Step 2: Convert to fraction form
    191,727/418,446 = 418,446/x
  3. Step 3: Cross multiply
    191,727x = 418,446 × 418,446
  4. Step 4: Simplify right side
    191,727x = 175,097,054,916
  5. Step 5: Solve for x
    x = 175,097,054,916/191,727
  6. Step 6: Final answer
    x = 913,262.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.