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Finding the Third Proportional to 147,339 and 222,233.63

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Solution

The third proportional to 147,339 and 222,233.63 is: 335,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,339 : 222,233.63 = 222,233.63 : x
  2. Step 2: Convert to fraction form
    147,339/222,233.63 = 222,233.63/x
  3. Step 3: Cross multiply
    147,339x = 222,233.63 × 222,233.63
  4. Step 4: Simplify right side
    147,339x = 49,387,784,080.64
  5. Step 5: Solve for x
    x = 49,387,784,080.64/147,339
  6. Step 6: Final answer
    x = 335,198.31

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