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Finding the Third Proportional to 126,528 and 270,384

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Solution

The third proportional to 126,528 and 270,384 is: 577,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,528 : 270,384 = 270,384 : x
  2. Step 2: Convert to fraction form
    126,528/270,384 = 270,384/x
  3. Step 3: Cross multiply
    126,528x = 270,384 × 270,384
  4. Step 4: Simplify right side
    126,528x = 73,107,507,456
  5. Step 5: Solve for x
    x = 73,107,507,456/126,528
  6. Step 6: Final answer
    x = 577,797.07

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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.