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Finding the Third Proportional to 126,670.50 and 268,891.50

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Solution

The third proportional to 126,670.50 and 268,891.50 is: 570,793.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,670.50 : 268,891.50 = 268,891.50 : x
  2. Step 2: Convert to fraction form
    126,670.50/268,891.50 = 268,891.50/x
  3. Step 3: Cross multiply
    126,670.50x = 268,891.50 × 268,891.50
  4. Step 4: Simplify right side
    126,670.50x = 72,302,638,772.25
  5. Step 5: Solve for x
    x = 72,302,638,772.25/126,670.50
  6. Step 6: Final answer
    x = 570,793.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.