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Finding the Third Proportional to 78,357 and 169,181

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Solution

The third proportional to 78,357 and 169,181 is: 365,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,357 : 169,181 = 169,181 : x
  2. Step 2: Convert to fraction form
    78,357/169,181 = 169,181/x
  3. Step 3: Cross multiply
    78,357x = 169,181 × 169,181
  4. Step 4: Simplify right side
    78,357x = 28,622,210,761
  5. Step 5: Solve for x
    x = 28,622,210,761/78,357
  6. Step 6: Final answer
    x = 365,279.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.