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Finding the Third Proportional to 85,646 and 180,522

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Solution

The third proportional to 85,646 and 180,522 is: 380,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,646 : 180,522 = 180,522 : x
  2. Step 2: Convert to fraction form
    85,646/180,522 = 180,522/x
  3. Step 3: Cross multiply
    85,646x = 180,522 × 180,522
  4. Step 4: Simplify right side
    85,646x = 32,588,192,484
  5. Step 5: Solve for x
    x = 32,588,192,484/85,646
  6. Step 6: Final answer
    x = 380,498.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.