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Finding the Third Proportional to 82,358 and 179,775

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Solution

The third proportional to 82,358 and 179,775 is: 392,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,358 : 179,775 = 179,775 : x
  2. Step 2: Convert to fraction form
    82,358/179,775 = 179,775/x
  3. Step 3: Cross multiply
    82,358x = 179,775 × 179,775
  4. Step 4: Simplify right side
    82,358x = 32,319,050,625
  5. Step 5: Solve for x
    x = 32,319,050,625/82,358
  6. Step 6: Final answer
    x = 392,421.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.