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Finding the Third Proportional to 134,129.25 and 284,249.25

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Solution

The third proportional to 134,129.25 and 284,249.25 is: 602,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,129.25 : 284,249.25 = 284,249.25 : x
  2. Step 2: Convert to fraction form
    134,129.25/284,249.25 = 284,249.25/x
  3. Step 3: Cross multiply
    134,129.25x = 284,249.25 × 284,249.25
  4. Step 4: Simplify right side
    134,129.25x = 80,797,636,125.56
  5. Step 5: Solve for x
    x = 80,797,636,125.56/134,129.25
  6. Step 6: Final answer
    x = 602,386.40

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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.