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Finding the Third Proportional to 114,512 and 252,280

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Solution

The third proportional to 114,512 and 252,280 is: 555,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,512 : 252,280 = 252,280 : x
  2. Step 2: Convert to fraction form
    114,512/252,280 = 252,280/x
  3. Step 3: Cross multiply
    114,512x = 252,280 × 252,280
  4. Step 4: Simplify right side
    114,512x = 63,645,198,400
  5. Step 5: Solve for x
    x = 63,645,198,400/114,512
  6. Step 6: Final answer
    x = 555,795.01

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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.