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Finding the Third Proportional to 132,047.44 and 284,628.38

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Solution

The third proportional to 132,047.44 and 284,628.38 is: 613,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,047.44 : 284,628.38 = 284,628.38 : x
  2. Step 2: Convert to fraction form
    132,047.44/284,628.38 = 284,628.38/x
  3. Step 3: Cross multiply
    132,047.44x = 284,628.38 × 284,628.38
  4. Step 4: Simplify right side
    132,047.44x = 81,013,311,855.14
  5. Step 5: Solve for x
    x = 81,013,311,855.14/132,047.44
  6. Step 6: Final answer
    x = 613,516.73

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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.