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Finding the Third Proportional to 187,255.50 and 273,875.25

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Solution

The third proportional to 187,255.50 and 273,875.25 is: 400,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,255.50 : 273,875.25 = 273,875.25 : x
  2. Step 2: Convert to fraction form
    187,255.50/273,875.25 = 273,875.25/x
  3. Step 3: Cross multiply
    187,255.50x = 273,875.25 × 273,875.25
  4. Step 4: Simplify right side
    187,255.50x = 75,007,652,562.56
  5. Step 5: Solve for x
    x = 75,007,652,562.56/187,255.50
  6. Step 6: Final answer
    x = 400,563.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.