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Finding the Third Proportional to 193,822 and 415,670

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Solution

The third proportional to 193,822 and 415,670 is: 891,444.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,822 : 415,670 = 415,670 : x
  2. Step 2: Convert to fraction form
    193,822/415,670 = 415,670/x
  3. Step 3: Cross multiply
    193,822x = 415,670 × 415,670
  4. Step 4: Simplify right side
    193,822x = 172,781,548,900
  5. Step 5: Solve for x
    x = 172,781,548,900/193,822
  6. Step 6: Final answer
    x = 891,444.46

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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.