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Finding the Third Proportional to 126,846 and 270,580.50

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Solution

The third proportional to 126,846 and 270,580.50 is: 577,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,846 : 270,580.50 = 270,580.50 : x
  2. Step 2: Convert to fraction form
    126,846/270,580.50 = 270,580.50/x
  3. Step 3: Cross multiply
    126,846x = 270,580.50 × 270,580.50
  4. Step 4: Simplify right side
    126,846x = 73,213,806,980.25
  5. Step 5: Solve for x
    x = 73,213,806,980.25/126,846
  6. Step 6: Final answer
    x = 577,186.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.