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Finding the Third Proportional to 129,451.50 and 283,111.50

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Solution

The third proportional to 129,451.50 and 283,111.50 is: 619,167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,451.50 : 283,111.50 = 283,111.50 : x
  2. Step 2: Convert to fraction form
    129,451.50/283,111.50 = 283,111.50/x
  3. Step 3: Cross multiply
    129,451.50x = 283,111.50 × 283,111.50
  4. Step 4: Simplify right side
    129,451.50x = 80,152,121,432.25
  5. Step 5: Solve for x
    x = 80,152,121,432.25/129,451.50
  6. Step 6: Final answer
    x = 619,167.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.