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Finding the Third Proportional to 146,970 and 219,884

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Solution

The third proportional to 146,970 and 219,884 is: 328,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,970 : 219,884 = 219,884 : x
  2. Step 2: Convert to fraction form
    146,970/219,884 = 219,884/x
  3. Step 3: Cross multiply
    146,970x = 219,884 × 219,884
  4. Step 4: Simplify right side
    146,970x = 48,348,973,456
  5. Step 5: Solve for x
    x = 48,348,973,456/146,970
  6. Step 6: Final answer
    x = 328,971.72

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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.