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Finding the Third Proportional to 115,656 and 252,270

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Solution

The third proportional to 115,656 and 252,270 is: 550,253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,656 : 252,270 = 252,270 : x
  2. Step 2: Convert to fraction form
    115,656/252,270 = 252,270/x
  3. Step 3: Cross multiply
    115,656x = 252,270 × 252,270
  4. Step 4: Simplify right side
    115,656x = 63,640,152,900
  5. Step 5: Solve for x
    x = 63,640,152,900/115,656
  6. Step 6: Final answer
    x = 550,253.79

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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.