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Finding the Third Proportional to 126,598 and 272,880

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Solution

The third proportional to 126,598 and 272,880 is: 588,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,598 : 272,880 = 272,880 : x
  2. Step 2: Convert to fraction form
    126,598/272,880 = 272,880/x
  3. Step 3: Cross multiply
    126,598x = 272,880 × 272,880
  4. Step 4: Simplify right side
    126,598x = 74,463,494,400
  5. Step 5: Solve for x
    x = 74,463,494,400/126,598
  6. Step 6: Final answer
    x = 588,188.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.