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Finding the Third Proportional to 126,430 and 271,604

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Solution

The third proportional to 126,430 and 271,604 is: 583,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,430 : 271,604 = 271,604 : x
  2. Step 2: Convert to fraction form
    126,430/271,604 = 271,604/x
  3. Step 3: Cross multiply
    126,430x = 271,604 × 271,604
  4. Step 4: Simplify right side
    126,430x = 73,768,732,816
  5. Step 5: Solve for x
    x = 73,768,732,816/126,430
  6. Step 6: Final answer
    x = 583,474.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.