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Finding the Third Proportional to 191,844 and 391,304

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Solution

The third proportional to 191,844 and 391,304 is: 798,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,844 : 391,304 = 391,304 : x
  2. Step 2: Convert to fraction form
    191,844/391,304 = 391,304/x
  3. Step 3: Cross multiply
    191,844x = 391,304 × 391,304
  4. Step 4: Simplify right side
    191,844x = 153,118,820,416
  5. Step 5: Solve for x
    x = 153,118,820,416/191,844
  6. Step 6: Final answer
    x = 798,142.35

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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.