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Finding the Third Proportional to 222,231 and 353,029.50

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Solution

The third proportional to 222,231 and 353,029.50 is: 560,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,231 : 353,029.50 = 353,029.50 : x
  2. Step 2: Convert to fraction form
    222,231/353,029.50 = 353,029.50/x
  3. Step 3: Cross multiply
    222,231x = 353,029.50 × 353,029.50
  4. Step 4: Simplify right side
    222,231x = 124,629,827,870.25
  5. Step 5: Solve for x
    x = 124,629,827,870.25/222,231
  6. Step 6: Final answer
    x = 560,812.07

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.