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Finding the Third Proportional to 114,220 and 250,651

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Solution

The third proportional to 114,220 and 250,651 is: 550,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,220 : 250,651 = 250,651 : x
  2. Step 2: Convert to fraction form
    114,220/250,651 = 250,651/x
  3. Step 3: Cross multiply
    114,220x = 250,651 × 250,651
  4. Step 4: Simplify right side
    114,220x = 62,825,923,801
  5. Step 5: Solve for x
    x = 62,825,923,801/114,220
  6. Step 6: Final answer
    x = 550,043.11

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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.