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Finding the Third Proportional to 126,409 and 270,314

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Solution

The third proportional to 126,409 and 270,314 is: 578,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,409 : 270,314 = 270,314 : x
  2. Step 2: Convert to fraction form
    126,409/270,314 = 270,314/x
  3. Step 3: Cross multiply
    126,409x = 270,314 × 270,314
  4. Step 4: Simplify right side
    126,409x = 73,069,658,596
  5. Step 5: Solve for x
    x = 73,069,658,596/126,409
  6. Step 6: Final answer
    x = 578,041.58

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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.