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Finding the Third Proportional to 187,261.50 and 273,883.50

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Solution

The third proportional to 187,261.50 and 273,883.50 is: 400,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,261.50 : 273,883.50 = 273,883.50 : x
  2. Step 2: Convert to fraction form
    187,261.50/273,883.50 = 273,883.50/x
  3. Step 3: Cross multiply
    187,261.50x = 273,883.50 × 273,883.50
  4. Step 4: Simplify right side
    187,261.50x = 75,012,171,572.25
  5. Step 5: Solve for x
    x = 75,012,171,572.25/187,261.50
  6. Step 6: Final answer
    x = 400,574.45

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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.