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Finding the Third Proportional to 144,867 and 224,310

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Solution

The third proportional to 144,867 and 224,310 is: 347,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,867 : 224,310 = 224,310 : x
  2. Step 2: Convert to fraction form
    144,867/224,310 = 224,310/x
  3. Step 3: Cross multiply
    144,867x = 224,310 × 224,310
  4. Step 4: Simplify right side
    144,867x = 50,314,976,100
  5. Step 5: Solve for x
    x = 50,314,976,100/144,867
  6. Step 6: Final answer
    x = 347,318.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.