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Finding the Third Proportional to 126,613.25 and 295,797

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Solution

The third proportional to 126,613.25 and 295,797 is: 691,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,613.25 : 295,797 = 295,797 : x
  2. Step 2: Convert to fraction form
    126,613.25/295,797 = 295,797/x
  3. Step 3: Cross multiply
    126,613.25x = 295,797 × 295,797
  4. Step 4: Simplify right side
    126,613.25x = 87,495,865,209
  5. Step 5: Solve for x
    x = 87,495,865,209/126,613.25
  6. Step 6: Final answer
    x = 691,048.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.