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Finding the Third Proportional to 118,863.75 and 259,051.50

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Solution

The third proportional to 118,863.75 and 259,051.50 is: 564,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,863.75 : 259,051.50 = 259,051.50 : x
  2. Step 2: Convert to fraction form
    118,863.75/259,051.50 = 259,051.50/x
  3. Step 3: Cross multiply
    118,863.75x = 259,051.50 × 259,051.50
  4. Step 4: Simplify right side
    118,863.75x = 67,107,679,652.25
  5. Step 5: Solve for x
    x = 67,107,679,652.25/118,863.75
  6. Step 6: Final answer
    x = 564,576.50

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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.