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Finding the Third Proportional to 134,139.38 and 284,271.38

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Solution

The third proportional to 134,139.38 and 284,271.38 is: 602,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,139.38 : 284,271.38 = 284,271.38 : x
  2. Step 2: Convert to fraction form
    134,139.38/284,271.38 = 284,271.38/x
  3. Step 3: Cross multiply
    134,139.38x = 284,271.38 × 284,271.38
  4. Step 4: Simplify right side
    134,139.38x = 80,810,214,644.39
  5. Step 5: Solve for x
    x = 80,810,214,644.39/134,139.38
  6. Step 6: Final answer
    x = 602,434.70

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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.