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Finding the Third Proportional to 118,226.25 and 259,446.38

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Solution

The third proportional to 118,226.25 and 259,446.38 is: 569,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,226.25 : 259,446.38 = 259,446.38 : x
  2. Step 2: Convert to fraction form
    118,226.25/259,446.38 = 259,446.38/x
  3. Step 3: Cross multiply
    118,226.25x = 259,446.38 × 259,446.38
  4. Step 4: Simplify right side
    118,226.25x = 67,312,421,500.64
  5. Step 5: Solve for x
    x = 67,312,421,500.64/118,226.25
  6. Step 6: Final answer
    x = 569,352.59

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Why These Related Problems?

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