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Finding the Third Proportional to 132,384.38 and 202,040.44

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Solution

The third proportional to 132,384.38 and 202,040.44 is: 308,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,384.38 : 202,040.44 = 202,040.44 : x
  2. Step 2: Convert to fraction form
    132,384.38/202,040.44 = 202,040.44/x
  3. Step 3: Cross multiply
    132,384.38x = 202,040.44 × 202,040.44
  4. Step 4: Simplify right side
    132,384.38x = 40,820,338,385.19
  5. Step 5: Solve for x
    x = 40,820,338,385.19/132,384.38
  6. Step 6: Final answer
    x = 308,347.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.