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Finding the Third Proportional to 114,361 and 250,800

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Solution

The third proportional to 114,361 and 250,800 is: 550,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,361 : 250,800 = 250,800 : x
  2. Step 2: Convert to fraction form
    114,361/250,800 = 250,800/x
  3. Step 3: Cross multiply
    114,361x = 250,800 × 250,800
  4. Step 4: Simplify right side
    114,361x = 62,900,640,000
  5. Step 5: Solve for x
    x = 62,900,640,000/114,361
  6. Step 6: Final answer
    x = 550,018.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.