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Finding the Third Proportional to 119,301.75 and 259,596

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Solution

The third proportional to 119,301.75 and 259,596 is: 564,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,301.75 : 259,596 = 259,596 : x
  2. Step 2: Convert to fraction form
    119,301.75/259,596 = 259,596/x
  3. Step 3: Cross multiply
    119,301.75x = 259,596 × 259,596
  4. Step 4: Simplify right side
    119,301.75x = 67,390,083,216
  5. Step 5: Solve for x
    x = 67,390,083,216/119,301.75
  6. Step 6: Final answer
    x = 564,870.87

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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.