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Finding the Third Proportional to 187,060.50 and 274,027.50

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Solution

The third proportional to 187,060.50 and 274,027.50 is: 401,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,060.50 : 274,027.50 = 274,027.50 : x
  2. Step 2: Convert to fraction form
    187,060.50/274,027.50 = 274,027.50/x
  3. Step 3: Cross multiply
    187,060.50x = 274,027.50 × 274,027.50
  4. Step 4: Simplify right side
    187,060.50x = 75,091,070,756.25
  5. Step 5: Solve for x
    x = 75,091,070,756.25/187,060.50
  6. Step 6: Final answer
    x = 401,426.65

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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.