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Finding the Third Proportional to 170,089 and 372,496

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Solution

The third proportional to 170,089 and 372,496 is: 815,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,089 : 372,496 = 372,496 : x
  2. Step 2: Convert to fraction form
    170,089/372,496 = 372,496/x
  3. Step 3: Cross multiply
    170,089x = 372,496 × 372,496
  4. Step 4: Simplify right side
    170,089x = 138,753,270,016
  5. Step 5: Solve for x
    x = 138,753,270,016/170,089
  6. Step 6: Final answer
    x = 815,768.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.