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Finding the Third Proportional to 176,348 and 391,934

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Solution

The third proportional to 176,348 and 391,934 is: 871,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,348 : 391,934 = 391,934 : x
  2. Step 2: Convert to fraction form
    176,348/391,934 = 391,934/x
  3. Step 3: Cross multiply
    176,348x = 391,934 × 391,934
  4. Step 4: Simplify right side
    176,348x = 153,612,260,356
  5. Step 5: Solve for x
    x = 153,612,260,356/176,348
  6. Step 6: Final answer
    x = 871,074.58

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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.