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Finding the Third Proportional to 151,805 and 222,783

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Solution

The third proportional to 151,805 and 222,783 is: 326,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,805 : 222,783 = 222,783 : x
  2. Step 2: Convert to fraction form
    151,805/222,783 = 222,783/x
  3. Step 3: Cross multiply
    151,805x = 222,783 × 222,783
  4. Step 4: Simplify right side
    151,805x = 49,632,265,089
  5. Step 5: Solve for x
    x = 49,632,265,089/151,805
  6. Step 6: Final answer
    x = 326,947.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.