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Finding the Third Proportional to 152,016.75 and 351,879.75

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Solution

The third proportional to 152,016.75 and 351,879.75 is: 814,511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,016.75 : 351,879.75 = 351,879.75 : x
  2. Step 2: Convert to fraction form
    152,016.75/351,879.75 = 351,879.75/x
  3. Step 3: Cross multiply
    152,016.75x = 351,879.75 × 351,879.75
  4. Step 4: Simplify right side
    152,016.75x = 123,819,358,460.06
  5. Step 5: Solve for x
    x = 123,819,358,460.06/152,016.75
  6. Step 6: Final answer
    x = 814,511.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.