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Finding the Third Proportional to 191,971 and 418,934

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Solution

The third proportional to 191,971 and 418,934 is: 914,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,971 : 418,934 = 418,934 : x
  2. Step 2: Convert to fraction form
    191,971/418,934 = 418,934/x
  3. Step 3: Cross multiply
    191,971x = 418,934 × 418,934
  4. Step 4: Simplify right side
    191,971x = 175,505,696,356
  5. Step 5: Solve for x
    x = 175,505,696,356/191,971
  6. Step 6: Final answer
    x = 914,230.26

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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.