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Finding the Third Proportional to 134,138.25 and 284,267.25

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Solution

The third proportional to 134,138.25 and 284,267.25 is: 602,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,138.25 : 284,267.25 = 284,267.25 : x
  2. Step 2: Convert to fraction form
    134,138.25/284,267.25 = 284,267.25/x
  3. Step 3: Cross multiply
    134,138.25x = 284,267.25 × 284,267.25
  4. Step 4: Simplify right side
    134,138.25x = 80,807,869,422.56
  5. Step 5: Solve for x
    x = 80,807,869,422.56/134,138.25
  6. Step 6: Final answer
    x = 602,422.27

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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.