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Finding the Third Proportional to 147,345 and 222,243

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Solution

The third proportional to 147,345 and 222,243 is: 335,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,345 : 222,243 = 222,243 : x
  2. Step 2: Convert to fraction form
    147,345/222,243 = 222,243/x
  3. Step 3: Cross multiply
    147,345x = 222,243 × 222,243
  4. Step 4: Simplify right side
    147,345x = 49,391,951,049
  5. Step 5: Solve for x
    x = 49,391,951,049/147,345
  6. Step 6: Final answer
    x = 335,212.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.