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Finding the Third Proportional to 115,636 and 252,228

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Solution

The third proportional to 115,636 and 252,228 is: 550,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,636 : 252,228 = 252,228 : x
  2. Step 2: Convert to fraction form
    115,636/252,228 = 252,228/x
  3. Step 3: Cross multiply
    115,636x = 252,228 × 252,228
  4. Step 4: Simplify right side
    115,636x = 63,618,963,984
  5. Step 5: Solve for x
    x = 63,618,963,984/115,636
  6. Step 6: Final answer
    x = 550,165.73

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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.