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Finding the Third Proportional to 212,769 and 319,947.75

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Solution

The third proportional to 212,769 and 319,947.75 is: 481,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,769 : 319,947.75 = 319,947.75 : x
  2. Step 2: Convert to fraction form
    212,769/319,947.75 = 319,947.75/x
  3. Step 3: Cross multiply
    212,769x = 319,947.75 × 319,947.75
  4. Step 4: Simplify right side
    212,769x = 102,366,562,730.06
  5. Step 5: Solve for x
    x = 102,366,562,730.06/212,769
  6. Step 6: Final answer
    x = 481,115.96

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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.