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Finding the Third Proportional to 115,722 and 253,638

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Solution

The third proportional to 115,722 and 253,638 is: 555,920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,722 : 253,638 = 253,638 : x
  2. Step 2: Convert to fraction form
    115,722/253,638 = 253,638/x
  3. Step 3: Cross multiply
    115,722x = 253,638 × 253,638
  4. Step 4: Simplify right side
    115,722x = 64,332,235,044
  5. Step 5: Solve for x
    x = 64,332,235,044/115,722
  6. Step 6: Final answer
    x = 555,920.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.