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Finding the Third Proportional to 126,977.63 and 270,479.25

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Solution

The third proportional to 126,977.63 and 270,479.25 is: 576,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,977.63 : 270,479.25 = 270,479.25 : x
  2. Step 2: Convert to fraction form
    126,977.63/270,479.25 = 270,479.25/x
  3. Step 3: Cross multiply
    126,977.63x = 270,479.25 × 270,479.25
  4. Step 4: Simplify right side
    126,977.63x = 73,159,024,680.56
  5. Step 5: Solve for x
    x = 73,159,024,680.56/126,977.63
  6. Step 6: Final answer
    x = 576,156.82

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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.