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Finding the Third Proportional to 152,016.75 and 219,935.25

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Solution

The third proportional to 152,016.75 and 219,935.25 is: 318,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,016.75 : 219,935.25 = 219,935.25 : x
  2. Step 2: Convert to fraction form
    152,016.75/219,935.25 = 219,935.25/x
  3. Step 3: Cross multiply
    152,016.75x = 219,935.25 × 219,935.25
  4. Step 4: Simplify right side
    152,016.75x = 48,371,514,192.56
  5. Step 5: Solve for x
    x = 48,371,514,192.56/152,016.75
  6. Step 6: Final answer
    x = 318,198.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.