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Finding the Third Proportional to 66,632.20 and 157,295.67

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Solution

The third proportional to 66,632.20 and 157,295.67 is: 371,320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,632.20 : 157,295.67 = 157,295.67 : x
  2. Step 2: Convert to fraction form
    66,632.20/157,295.67 = 157,295.67/x
  3. Step 3: Cross multiply
    66,632.20x = 157,295.67 × 157,295.67
  4. Step 4: Simplify right side
    66,632.20x = 24,741,928,390.61
  5. Step 5: Solve for x
    x = 24,741,928,390.61/66,632.20
  6. Step 6: Final answer
    x = 371,320.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.