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Finding the Third Proportional to 169,761 and 369,042.75

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Solution

The third proportional to 169,761 and 369,042.75 is: 802,260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,761 : 369,042.75 = 369,042.75 : x
  2. Step 2: Convert to fraction form
    169,761/369,042.75 = 369,042.75/x
  3. Step 3: Cross multiply
    169,761x = 369,042.75 × 369,042.75
  4. Step 4: Simplify right side
    169,761x = 136,192,551,327.56
  5. Step 5: Solve for x
    x = 136,192,551,327.56/169,761
  6. Step 6: Final answer
    x = 802,260.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.