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Finding the Third Proportional to 119,281.50 and 259,600.50

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Solution

The third proportional to 119,281.50 and 259,600.50 is: 564,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,281.50 : 259,600.50 = 259,600.50 : x
  2. Step 2: Convert to fraction form
    119,281.50/259,600.50 = 259,600.50/x
  3. Step 3: Cross multiply
    119,281.50x = 259,600.50 × 259,600.50
  4. Step 4: Simplify right side
    119,281.50x = 67,392,419,600.25
  5. Step 5: Solve for x
    x = 67,392,419,600.25/119,281.50
  6. Step 6: Final answer
    x = 564,986.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.