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Finding the Third Proportional to 147,404 and 222,339

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Solution

The third proportional to 147,404 and 222,339 is: 335,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,404 : 222,339 = 222,339 : x
  2. Step 2: Convert to fraction form
    147,404/222,339 = 222,339/x
  3. Step 3: Cross multiply
    147,404x = 222,339 × 222,339
  4. Step 4: Simplify right side
    147,404x = 49,434,630,921
  5. Step 5: Solve for x
    x = 49,434,630,921/147,404
  6. Step 6: Final answer
    x = 335,368.31

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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.