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Finding the Third Proportional to 153,926 and 222,729

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Solution

The third proportional to 153,926 and 222,729 is: 322,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,926 : 222,729 = 222,729 : x
  2. Step 2: Convert to fraction form
    153,926/222,729 = 222,729/x
  3. Step 3: Cross multiply
    153,926x = 222,729 × 222,729
  4. Step 4: Simplify right side
    153,926x = 49,608,207,441
  5. Step 5: Solve for x
    x = 49,608,207,441/153,926
  6. Step 6: Final answer
    x = 322,286.08

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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.