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Finding the Third Proportional to 151,759 and 222,717

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Solution

The third proportional to 151,759 and 222,717 is: 326,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,759 : 222,717 = 222,717 : x
  2. Step 2: Convert to fraction form
    151,759/222,717 = 222,717/x
  3. Step 3: Cross multiply
    151,759x = 222,717 × 222,717
  4. Step 4: Simplify right side
    151,759x = 49,602,862,089
  5. Step 5: Solve for x
    x = 49,602,862,089/151,759
  6. Step 6: Final answer
    x = 326,852.85

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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.