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Finding the Third Proportional to 118,434.66 and 259,010.16

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Solution

The third proportional to 118,434.66 and 259,010.16 is: 566,441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,434.66 : 259,010.16 = 259,010.16 : x
  2. Step 2: Convert to fraction form
    118,434.66/259,010.16 = 259,010.16/x
  3. Step 3: Cross multiply
    118,434.66x = 259,010.16 × 259,010.16
  4. Step 4: Simplify right side
    118,434.66x = 67,086,261,040.65
  5. Step 5: Solve for x
    x = 67,086,261,040.65/118,434.66
  6. Step 6: Final answer
    x = 566,441.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.