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Finding the Third Proportional to 281,221.88 and 401,861.25

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Solution

The third proportional to 281,221.88 and 401,861.25 is: 574,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,221.88 : 401,861.25 = 401,861.25 : x
  2. Step 2: Convert to fraction form
    281,221.88/401,861.25 = 401,861.25/x
  3. Step 3: Cross multiply
    281,221.88x = 401,861.25 × 401,861.25
  4. Step 4: Simplify right side
    281,221.88x = 161,492,464,251.56
  5. Step 5: Solve for x
    x = 161,492,464,251.56/281,221.88
  6. Step 6: Final answer
    x = 574,252.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.