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Finding the Third Proportional to 143,524.50 and 308,987

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Solution

The third proportional to 143,524.50 and 308,987 is: 665,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,524.50 : 308,987 = 308,987 : x
  2. Step 2: Convert to fraction form
    143,524.50/308,987 = 308,987/x
  3. Step 3: Cross multiply
    143,524.50x = 308,987 × 308,987
  4. Step 4: Simplify right side
    143,524.50x = 95,472,966,169
  5. Step 5: Solve for x
    x = 95,472,966,169/143,524.50
  6. Step 6: Final answer
    x = 665,203.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.