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Finding the Third Proportional to 132,176.81 and 280,072.69

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Solution

The third proportional to 132,176.81 and 280,072.69 is: 593,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,176.81 : 280,072.69 = 280,072.69 : x
  2. Step 2: Convert to fraction form
    132,176.81/280,072.69 = 280,072.69/x
  3. Step 3: Cross multiply
    132,176.81x = 280,072.69 × 280,072.69
  4. Step 4: Simplify right side
    132,176.81x = 78,440,710,283.47
  5. Step 5: Solve for x
    x = 78,440,710,283.47/132,176.81
  6. Step 6: Final answer
    x = 593,452.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.