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Finding the Third Proportional to 110,701.41 and 176,233.78

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Solution

The third proportional to 110,701.41 and 176,233.78 is: 280,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,701.41 : 176,233.78 = 176,233.78 : x
  2. Step 2: Convert to fraction form
    110,701.41/176,233.78 = 176,233.78/x
  3. Step 3: Cross multiply
    110,701.41x = 176,233.78 × 176,233.78
  4. Step 4: Simplify right side
    110,701.41x = 31,058,345,653.67
  5. Step 5: Solve for x
    x = 31,058,345,653.67/110,701.41
  6. Step 6: Final answer
    x = 280,559.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.