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Finding the Third Proportional to 222,091.50 and 316,525.50

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Solution

The third proportional to 222,091.50 and 316,525.50 is: 451,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,091.50 : 316,525.50 = 316,525.50 : x
  2. Step 2: Convert to fraction form
    222,091.50/316,525.50 = 316,525.50/x
  3. Step 3: Cross multiply
    222,091.50x = 316,525.50 × 316,525.50
  4. Step 4: Simplify right side
    222,091.50x = 100,188,392,150.25
  5. Step 5: Solve for x
    x = 100,188,392,150.25/222,091.50
  6. Step 6: Final answer
    x = 451,113.13

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.