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Finding the Third Proportional to 145,845 and 224,990

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Solution

The third proportional to 145,845 and 224,990 is: 347,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,845 : 224,990 = 224,990 : x
  2. Step 2: Convert to fraction form
    145,845/224,990 = 224,990/x
  3. Step 3: Cross multiply
    145,845x = 224,990 × 224,990
  4. Step 4: Simplify right side
    145,845x = 50,620,500,100
  5. Step 5: Solve for x
    x = 50,620,500,100/145,845
  6. Step 6: Final answer
    x = 347,084.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.