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Finding the Third Proportional to 199,848 and 259,282.50

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Solution

The third proportional to 199,848 and 259,282.50 is: 336,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,848 : 259,282.50 = 259,282.50 : x
  2. Step 2: Convert to fraction form
    199,848/259,282.50 = 259,282.50/x
  3. Step 3: Cross multiply
    199,848x = 259,282.50 × 259,282.50
  4. Step 4: Simplify right side
    199,848x = 67,227,414,806.25
  5. Step 5: Solve for x
    x = 67,227,414,806.25/199,848
  6. Step 6: Final answer
    x = 336,392.73

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.