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Finding the Third Proportional to 187,191 and 287,725.50

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Solution

The third proportional to 187,191 and 287,725.50 is: 442,253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,191 : 287,725.50 = 287,725.50 : x
  2. Step 2: Convert to fraction form
    187,191/287,725.50 = 287,725.50/x
  3. Step 3: Cross multiply
    187,191x = 287,725.50 × 287,725.50
  4. Step 4: Simplify right side
    187,191x = 82,785,963,350.25
  5. Step 5: Solve for x
    x = 82,785,963,350.25/187,191
  6. Step 6: Final answer
    x = 442,253.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.