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Finding the Third Proportional to 151,815 and 222,796

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Solution

The third proportional to 151,815 and 222,796 is: 326,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,815 : 222,796 = 222,796 : x
  2. Step 2: Convert to fraction form
    151,815/222,796 = 222,796/x
  3. Step 3: Cross multiply
    151,815x = 222,796 × 222,796
  4. Step 4: Simplify right side
    151,815x = 49,638,057,616
  5. Step 5: Solve for x
    x = 49,638,057,616/151,815
  6. Step 6: Final answer
    x = 326,964.12

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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.