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Finding the Third Proportional to 129,012.75 and 283,459.50

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Solution

The third proportional to 129,012.75 and 283,459.50 is: 622,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,012.75 : 283,459.50 = 283,459.50 : x
  2. Step 2: Convert to fraction form
    129,012.75/283,459.50 = 283,459.50/x
  3. Step 3: Cross multiply
    129,012.75x = 283,459.50 × 283,459.50
  4. Step 4: Simplify right side
    129,012.75x = 80,349,288,140.25
  5. Step 5: Solve for x
    x = 80,349,288,140.25/129,012.75
  6. Step 6: Final answer
    x = 622,801.14

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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.