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Finding the Third Proportional to 165,246 and 222,957

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Solution

The third proportional to 165,246 and 222,957 is: 300,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,246 : 222,957 = 222,957 : x
  2. Step 2: Convert to fraction form
    165,246/222,957 = 222,957/x
  3. Step 3: Cross multiply
    165,246x = 222,957 × 222,957
  4. Step 4: Simplify right side
    165,246x = 49,709,823,849
  5. Step 5: Solve for x
    x = 49,709,823,849/165,246
  6. Step 6: Final answer
    x = 300,823.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.