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Finding the Third Proportional to 222,083.44 and 357,652.13

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Solution

The third proportional to 222,083.44 and 357,652.13 is: 575,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,083.44 : 357,652.13 = 357,652.13 : x
  2. Step 2: Convert to fraction form
    222,083.44/357,652.13 = 357,652.13/x
  3. Step 3: Cross multiply
    222,083.44x = 357,652.13 × 357,652.13
  4. Step 4: Simplify right side
    222,083.44x = 127,915,042,517.02
  5. Step 5: Solve for x
    x = 127,915,042,517.02/222,083.44
  6. Step 6: Final answer
    x = 575,977.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.