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Finding the Third Proportional to 132,735.38 and 286,601.63

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Solution

The third proportional to 132,735.38 and 286,601.63 is: 618,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,735.38 : 286,601.63 = 286,601.63 : x
  2. Step 2: Convert to fraction form
    132,735.38/286,601.63 = 286,601.63/x
  3. Step 3: Cross multiply
    132,735.38x = 286,601.63 × 286,601.63
  4. Step 4: Simplify right side
    132,735.38x = 82,140,491,452.64
  5. Step 5: Solve for x
    x = 82,140,491,452.64/132,735.38
  6. Step 6: Final answer
    x = 618,828.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.