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Finding the Third Proportional to 146,953 and 219,859

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Solution

The third proportional to 146,953 and 219,859 is: 328,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,953 : 219,859 = 219,859 : x
  2. Step 2: Convert to fraction form
    146,953/219,859 = 219,859/x
  3. Step 3: Cross multiply
    146,953x = 219,859 × 219,859
  4. Step 4: Simplify right side
    146,953x = 48,337,979,881
  5. Step 5: Solve for x
    x = 48,337,979,881/146,953
  6. Step 6: Final answer
    x = 328,934.96

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