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Finding the Third Proportional to 118,864.25 and 259,052.50

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Solution

The third proportional to 118,864.25 and 259,052.50 is: 564,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,864.25 : 259,052.50 = 259,052.50 : x
  2. Step 2: Convert to fraction form
    118,864.25/259,052.50 = 259,052.50/x
  3. Step 3: Cross multiply
    118,864.25x = 259,052.50 × 259,052.50
  4. Step 4: Simplify right side
    118,864.25x = 67,108,197,756.25
  5. Step 5: Solve for x
    x = 67,108,197,756.25/118,864.25
  6. Step 6: Final answer
    x = 564,578.48

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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.