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Finding the Third Proportional to 146,434.50 and 219,078

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Solution

The third proportional to 146,434.50 and 219,078 is: 327,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,434.50 : 219,078 = 219,078 : x
  2. Step 2: Convert to fraction form
    146,434.50/219,078 = 219,078/x
  3. Step 3: Cross multiply
    146,434.50x = 219,078 × 219,078
  4. Step 4: Simplify right side
    146,434.50x = 47,995,170,084
  5. Step 5: Solve for x
    x = 47,995,170,084/146,434.50
  6. Step 6: Final answer
    x = 327,758.62

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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.