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Finding the Third Proportional to 147,261 and 222,119

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Solution

The third proportional to 147,261 and 222,119 is: 335,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,261 : 222,119 = 222,119 : x
  2. Step 2: Convert to fraction form
    147,261/222,119 = 222,119/x
  3. Step 3: Cross multiply
    147,261x = 222,119 × 222,119
  4. Step 4: Simplify right side
    147,261x = 49,336,850,161
  5. Step 5: Solve for x
    x = 49,336,850,161/147,261
  6. Step 6: Final answer
    x = 335,029.98

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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.