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Finding the Third Proportional to 126,326 and 270,156

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Solution

The third proportional to 126,326 and 270,156 is: 577,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,326 : 270,156 = 270,156 : x
  2. Step 2: Convert to fraction form
    126,326/270,156 = 270,156/x
  3. Step 3: Cross multiply
    126,326x = 270,156 × 270,156
  4. Step 4: Simplify right side
    126,326x = 72,984,264,336
  5. Step 5: Solve for x
    x = 72,984,264,336/126,326
  6. Step 6: Final answer
    x = 577,745.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.