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Finding the Third Proportional to 118,854 and 259,028

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Solution

The third proportional to 118,854 and 259,028 is: 564,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,854 : 259,028 = 259,028 : x
  2. Step 2: Convert to fraction form
    118,854/259,028 = 259,028/x
  3. Step 3: Cross multiply
    118,854x = 259,028 × 259,028
  4. Step 4: Simplify right side
    118,854x = 67,095,504,784
  5. Step 5: Solve for x
    x = 67,095,504,784/118,854
  6. Step 6: Final answer
    x = 564,520.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.