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Finding the Third Proportional to 118,155 and 259,278

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Solution

The third proportional to 118,155 and 259,278 is: 568,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,155 : 259,278 = 259,278 : x
  2. Step 2: Convert to fraction form
    118,155/259,278 = 259,278/x
  3. Step 3: Cross multiply
    118,155x = 259,278 × 259,278
  4. Step 4: Simplify right side
    118,155x = 67,225,081,284
  5. Step 5: Solve for x
    x = 67,225,081,284/118,155
  6. Step 6: Final answer
    x = 568,956.72

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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.