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Finding the Third Proportional to 191,842 and 391,300

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Solution

The third proportional to 191,842 and 391,300 is: 798,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,842 : 391,300 = 391,300 : x
  2. Step 2: Convert to fraction form
    191,842/391,300 = 391,300/x
  3. Step 3: Cross multiply
    191,842x = 391,300 × 391,300
  4. Step 4: Simplify right side
    191,842x = 153,115,690,000
  5. Step 5: Solve for x
    x = 153,115,690,000/191,842
  6. Step 6: Final answer
    x = 798,134.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.