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Finding the Third Proportional to 169,527.75 and 247,764.56

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Solution

The third proportional to 169,527.75 and 247,764.56 is: 362,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,527.75 : 247,764.56 = 247,764.56 : x
  2. Step 2: Convert to fraction form
    169,527.75/247,764.56 = 247,764.56/x
  3. Step 3: Cross multiply
    169,527.75x = 247,764.56 × 247,764.56
  4. Step 4: Simplify right side
    169,527.75x = 61,387,278,430.82
  5. Step 5: Solve for x
    x = 61,387,278,430.82/169,527.75
  6. Step 6: Final answer
    x = 362,107.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.