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Finding the Third Proportional to 119,935.69 and 258,324.19

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Solution

The third proportional to 119,935.69 and 258,324.19 is: 556,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,935.69 : 258,324.19 = 258,324.19 : x
  2. Step 2: Convert to fraction form
    119,935.69/258,324.19 = 258,324.19/x
  3. Step 3: Cross multiply
    119,935.69x = 258,324.19 × 258,324.19
  4. Step 4: Simplify right side
    119,935.69x = 66,731,385,847.54
  5. Step 5: Solve for x
    x = 66,731,385,847.54/119,935.69
  6. Step 6: Final answer
    x = 556,393.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.