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Finding the Third Proportional to 134,048 and 287,542

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Solution

The third proportional to 134,048 and 287,542 is: 616,796.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,048 : 287,542 = 287,542 : x
  2. Step 2: Convert to fraction form
    134,048/287,542 = 287,542/x
  3. Step 3: Cross multiply
    134,048x = 287,542 × 287,542
  4. Step 4: Simplify right side
    134,048x = 82,680,401,764
  5. Step 5: Solve for x
    x = 82,680,401,764/134,048
  6. Step 6: Final answer
    x = 616,796.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.