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Finding the Third Proportional to 187,440.75 and 274,171.50

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Solution

The third proportional to 187,440.75 and 274,171.50 is: 401,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,440.75 : 274,171.50 = 274,171.50 : x
  2. Step 2: Convert to fraction form
    187,440.75/274,171.50 = 274,171.50/x
  3. Step 3: Cross multiply
    187,440.75x = 274,171.50 × 274,171.50
  4. Step 4: Simplify right side
    187,440.75x = 75,170,011,412.25
  5. Step 5: Solve for x
    x = 75,170,011,412.25/187,440.75
  6. Step 6: Final answer
    x = 401,033.45

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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.