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Finding the Third Proportional to 79,217 and 176,144

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Solution

The third proportional to 79,217 and 176,144 is: 391,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,217 : 176,144 = 176,144 : x
  2. Step 2: Convert to fraction form
    79,217/176,144 = 176,144/x
  3. Step 3: Cross multiply
    79,217x = 176,144 × 176,144
  4. Step 4: Simplify right side
    79,217x = 31,026,708,736
  5. Step 5: Solve for x
    x = 31,026,708,736/79,217
  6. Step 6: Final answer
    x = 391,667.30

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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.