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Finding the Third Proportional to 126,657 and 270,252

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Solution

The third proportional to 126,657 and 270,252 is: 576,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,657 : 270,252 = 270,252 : x
  2. Step 2: Convert to fraction form
    126,657/270,252 = 270,252/x
  3. Step 3: Cross multiply
    126,657x = 270,252 × 270,252
  4. Step 4: Simplify right side
    126,657x = 73,036,143,504
  5. Step 5: Solve for x
    x = 73,036,143,504/126,657
  6. Step 6: Final answer
    x = 576,645.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.