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Finding the Third Proportional to 146,262 and 224,718

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Solution

The third proportional to 146,262 and 224,718 is: 345,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,262 : 224,718 = 224,718 : x
  2. Step 2: Convert to fraction form
    146,262/224,718 = 224,718/x
  3. Step 3: Cross multiply
    146,262x = 224,718 × 224,718
  4. Step 4: Simplify right side
    146,262x = 50,498,179,524
  5. Step 5: Solve for x
    x = 50,498,179,524/146,262
  6. Step 6: Final answer
    x = 345,258.37

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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.