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Finding the Third Proportional to 193,800 and 415,620

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Solution

The third proportional to 193,800 and 415,620 is: 891,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,800 : 415,620 = 415,620 : x
  2. Step 2: Convert to fraction form
    193,800/415,620 = 415,620/x
  3. Step 3: Cross multiply
    193,800x = 415,620 × 415,620
  4. Step 4: Simplify right side
    193,800x = 172,739,984,400
  5. Step 5: Solve for x
    x = 172,739,984,400/193,800
  6. Step 6: Final answer
    x = 891,331.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.