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Finding the Third Proportional to 146,478 and 219,696

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Solution

The third proportional to 146,478 and 219,696 is: 329,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,478 : 219,696 = 219,696 : x
  2. Step 2: Convert to fraction form
    146,478/219,696 = 219,696/x
  3. Step 3: Cross multiply
    146,478x = 219,696 × 219,696
  4. Step 4: Simplify right side
    146,478x = 48,266,332,416
  5. Step 5: Solve for x
    x = 48,266,332,416/146,478
  6. Step 6: Final answer
    x = 329,512.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.