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Finding the Third Proportional to 176,344 and 391,926

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Solution

The third proportional to 176,344 and 391,926 is: 871,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,344 : 391,926 = 391,926 : x
  2. Step 2: Convert to fraction form
    176,344/391,926 = 391,926/x
  3. Step 3: Cross multiply
    176,344x = 391,926 × 391,926
  4. Step 4: Simplify right side
    176,344x = 153,605,989,476
  5. Step 5: Solve for x
    x = 153,605,989,476/176,344
  6. Step 6: Final answer
    x = 871,058.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.