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Finding the Third Proportional to 118,554 and 259,237.50

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Solution

The third proportional to 118,554 and 259,237.50 is: 566,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,554 : 259,237.50 = 259,237.50 : x
  2. Step 2: Convert to fraction form
    118,554/259,237.50 = 259,237.50/x
  3. Step 3: Cross multiply
    118,554x = 259,237.50 × 259,237.50
  4. Step 4: Simplify right side
    118,554x = 67,204,081,406.25
  5. Step 5: Solve for x
    x = 67,204,081,406.25/118,554
  6. Step 6: Final answer
    x = 566,864.73

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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.