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Finding the Third Proportional to 141,471.56 and 220,818.66

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Solution

The third proportional to 141,471.56 and 220,818.66 is: 344,669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,471.56 : 220,818.66 = 220,818.66 : x
  2. Step 2: Convert to fraction form
    141,471.56/220,818.66 = 220,818.66/x
  3. Step 3: Cross multiply
    141,471.56x = 220,818.66 × 220,818.66
  4. Step 4: Simplify right side
    141,471.56x = 48,760,878,948.06
  5. Step 5: Solve for x
    x = 48,760,878,948.06/141,471.56
  6. Step 6: Final answer
    x = 344,669.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.