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Finding the Third Proportional to 126,726.40 and 197,359.66

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Solution

The third proportional to 126,726.40 and 197,359.66 is: 307,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,726.40 : 197,359.66 = 197,359.66 : x
  2. Step 2: Convert to fraction form
    126,726.40/197,359.66 = 197,359.66/x
  3. Step 3: Cross multiply
    126,726.40x = 197,359.66 × 197,359.66
  4. Step 4: Simplify right side
    126,726.40x = 38,950,836,998.86
  5. Step 5: Solve for x
    x = 38,950,836,998.86/126,726.40
  6. Step 6: Final answer
    x = 307,361.67

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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.