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Finding the Third Proportional to 126,918.56 and 264,475.13

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Solution

The third proportional to 126,918.56 and 264,475.13 is: 551,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,918.56 : 264,475.13 = 264,475.13 : x
  2. Step 2: Convert to fraction form
    126,918.56/264,475.13 = 264,475.13/x
  3. Step 3: Cross multiply
    126,918.56x = 264,475.13 × 264,475.13
  4. Step 4: Simplify right side
    126,918.56x = 69,947,091,743.77
  5. Step 5: Solve for x
    x = 69,947,091,743.77/126,918.56
  6. Step 6: Final answer
    x = 551,117.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.