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Finding the Third Proportional to 191,864 and 418,666

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Solution

The third proportional to 191,864 and 418,666 is: 913,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,864 : 418,666 = 418,666 : x
  2. Step 2: Convert to fraction form
    191,864/418,666 = 418,666/x
  3. Step 3: Cross multiply
    191,864x = 418,666 × 418,666
  4. Step 4: Simplify right side
    191,864x = 175,281,219,556
  5. Step 5: Solve for x
    x = 175,281,219,556/191,864
  6. Step 6: Final answer
    x = 913,570.13

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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.