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Finding the Third Proportional to 137,524.50 and 287,533.13

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Solution

The third proportional to 137,524.50 and 287,533.13 is: 601,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,524.50 : 287,533.13 = 287,533.13 : x
  2. Step 2: Convert to fraction form
    137,524.50/287,533.13 = 287,533.13/x
  3. Step 3: Cross multiply
    137,524.50x = 287,533.13 × 287,533.13
  4. Step 4: Simplify right side
    137,524.50x = 82,675,297,972.27
  5. Step 5: Solve for x
    x = 82,675,297,972.27/137,524.50
  6. Step 6: Final answer
    x = 601,167.78

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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.