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Finding the Third Proportional to 77,241 and 169,244

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Solution

The third proportional to 77,241 and 169,244 is: 370,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,241 : 169,244 = 169,244 : x
  2. Step 2: Convert to fraction form
    77,241/169,244 = 169,244/x
  3. Step 3: Cross multiply
    77,241x = 169,244 × 169,244
  4. Step 4: Simplify right side
    77,241x = 28,643,531,536
  5. Step 5: Solve for x
    x = 28,643,531,536/77,241
  6. Step 6: Final answer
    x = 370,833.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.