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Finding the Third Proportional to 120,334.50 and 259,323.75

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Solution

The third proportional to 120,334.50 and 259,323.75 is: 558,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,334.50 : 259,323.75 = 259,323.75 : x
  2. Step 2: Convert to fraction form
    120,334.50/259,323.75 = 259,323.75/x
  3. Step 3: Cross multiply
    120,334.50x = 259,323.75 × 259,323.75
  4. Step 4: Simplify right side
    120,334.50x = 67,248,807,314.06
  5. Step 5: Solve for x
    x = 67,248,807,314.06/120,334.50
  6. Step 6: Final answer
    x = 558,848.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.