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Finding the Third Proportional to 115,758 and 253,674

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Solution

The third proportional to 115,758 and 253,674 is: 555,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,758 : 253,674 = 253,674 : x
  2. Step 2: Convert to fraction form
    115,758/253,674 = 253,674/x
  3. Step 3: Cross multiply
    115,758x = 253,674 × 253,674
  4. Step 4: Simplify right side
    115,758x = 64,350,498,276
  5. Step 5: Solve for x
    x = 64,350,498,276/115,758
  6. Step 6: Final answer
    x = 555,905.41

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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.