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Finding the Third Proportional to 115,658 and 252,274

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Solution

The third proportional to 115,658 and 252,274 is: 550,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,658 : 252,274 = 252,274 : x
  2. Step 2: Convert to fraction form
    115,658/252,274 = 252,274/x
  3. Step 3: Cross multiply
    115,658x = 252,274 × 252,274
  4. Step 4: Simplify right side
    115,658x = 63,642,171,076
  5. Step 5: Solve for x
    x = 63,642,171,076/115,658
  6. Step 6: Final answer
    x = 550,261.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.