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Finding the Third Proportional to 126,648 and 270,792

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Solution

The third proportional to 126,648 and 270,792 is: 578,993.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,648 : 270,792 = 270,792 : x
  2. Step 2: Convert to fraction form
    126,648/270,792 = 270,792/x
  3. Step 3: Cross multiply
    126,648x = 270,792 × 270,792
  4. Step 4: Simplify right side
    126,648x = 73,328,307,264
  5. Step 5: Solve for x
    x = 73,328,307,264/126,648
  6. Step 6: Final answer
    x = 578,993.01

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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.