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Finding the Third Proportional to 179,895 and 396,010.50

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Solution

The third proportional to 179,895 and 396,010.50 is: 871,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,895 : 396,010.50 = 396,010.50 : x
  2. Step 2: Convert to fraction form
    179,895/396,010.50 = 396,010.50/x
  3. Step 3: Cross multiply
    179,895x = 396,010.50 × 396,010.50
  4. Step 4: Simplify right side
    179,895x = 156,824,316,110.25
  5. Step 5: Solve for x
    x = 156,824,316,110.25/179,895
  6. Step 6: Final answer
    x = 871,754.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.