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Finding the Third Proportional to 115,293 and 252,456

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Solution

The third proportional to 115,293 and 252,456 is: 552,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,293 : 252,456 = 252,456 : x
  2. Step 2: Convert to fraction form
    115,293/252,456 = 252,456/x
  3. Step 3: Cross multiply
    115,293x = 252,456 × 252,456
  4. Step 4: Simplify right side
    115,293x = 63,734,031,936
  5. Step 5: Solve for x
    x = 63,734,031,936/115,293
  6. Step 6: Final answer
    x = 552,800.53

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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.