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Finding the Third Proportional to 146,956.78 and 219,864.80

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Solution

The third proportional to 146,956.78 and 219,864.80 is: 328,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,956.78 : 219,864.80 = 219,864.80 : x
  2. Step 2: Convert to fraction form
    146,956.78/219,864.80 = 219,864.80/x
  3. Step 3: Cross multiply
    146,956.78x = 219,864.80 × 219,864.80
  4. Step 4: Simplify right side
    146,956.78x = 48,340,528,904.89
  5. Step 5: Solve for x
    x = 48,340,528,904.89/146,956.78
  6. Step 6: Final answer
    x = 328,943.85

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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.