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Finding the Third Proportional to 143,385.75 and 200,549.25

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Solution

The third proportional to 143,385.75 and 200,549.25 is: 280,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,385.75 : 200,549.25 = 200,549.25 : x
  2. Step 2: Convert to fraction form
    143,385.75/200,549.25 = 200,549.25/x
  3. Step 3: Cross multiply
    143,385.75x = 200,549.25 × 200,549.25
  4. Step 4: Simplify right side
    143,385.75x = 40,220,001,675.56
  5. Step 5: Solve for x
    x = 40,220,001,675.56/143,385.75
  6. Step 6: Final answer
    x = 280,502.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.