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Finding the Third Proportional to 137,617.50 and 287,718

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Solution

The third proportional to 137,617.50 and 287,718 is: 601,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,617.50 : 287,718 = 287,718 : x
  2. Step 2: Convert to fraction form
    137,617.50/287,718 = 287,718/x
  3. Step 3: Cross multiply
    137,617.50x = 287,718 × 287,718
  4. Step 4: Simplify right side
    137,617.50x = 82,781,647,524
  5. Step 5: Solve for x
    x = 82,781,647,524/137,617.50
  6. Step 6: Final answer
    x = 601,534.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.