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Finding the Third Proportional to 321,142.50 and 422,385.75

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Solution

The third proportional to 321,142.50 and 422,385.75 is: 555,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,142.50 : 422,385.75 = 422,385.75 : x
  2. Step 2: Convert to fraction form
    321,142.50/422,385.75 = 422,385.75/x
  3. Step 3: Cross multiply
    321,142.50x = 422,385.75 × 422,385.75
  4. Step 4: Simplify right side
    321,142.50x = 178,409,721,803.06
  5. Step 5: Solve for x
    x = 178,409,721,803.06/321,142.50
  6. Step 6: Final answer
    x = 555,546.90

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.