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Finding the Third Proportional to 114,662 and 252,580

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Solution

The third proportional to 114,662 and 252,580 is: 556,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,662 : 252,580 = 252,580 : x
  2. Step 2: Convert to fraction form
    114,662/252,580 = 252,580/x
  3. Step 3: Cross multiply
    114,662x = 252,580 × 252,580
  4. Step 4: Simplify right side
    114,662x = 63,796,656,400
  5. Step 5: Solve for x
    x = 63,796,656,400/114,662
  6. Step 6: Final answer
    x = 556,388.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.