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Finding the Third Proportional to 77,414.41 and 170,052.30

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Solution

The third proportional to 77,414.41 and 170,052.30 is: 373,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,414.41 : 170,052.30 = 170,052.30 : x
  2. Step 2: Convert to fraction form
    77,414.41/170,052.30 = 170,052.30/x
  3. Step 3: Cross multiply
    77,414.41x = 170,052.30 × 170,052.30
  4. Step 4: Simplify right side
    77,414.41x = 28,917,785,333.13
  5. Step 5: Solve for x
    x = 28,917,785,333.13/77,414.41
  6. Step 6: Final answer
    x = 373,545.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.