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Finding the Third Proportional to 126,404 and 270,304

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Solution

The third proportional to 126,404 and 270,304 is: 578,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,404 : 270,304 = 270,304 : x
  2. Step 2: Convert to fraction form
    126,404/270,304 = 270,304/x
  3. Step 3: Cross multiply
    126,404x = 270,304 × 270,304
  4. Step 4: Simplify right side
    126,404x = 73,064,252,416
  5. Step 5: Solve for x
    x = 73,064,252,416/126,404
  6. Step 6: Final answer
    x = 578,021.68

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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.