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Finding the Third Proportional to 118,181 and 259,323

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Solution

The third proportional to 118,181 and 259,323 is: 569,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,181 : 259,323 = 259,323 : x
  2. Step 2: Convert to fraction form
    118,181/259,323 = 259,323/x
  3. Step 3: Cross multiply
    118,181x = 259,323 × 259,323
  4. Step 4: Simplify right side
    118,181x = 67,248,418,329
  5. Step 5: Solve for x
    x = 67,248,418,329/118,181
  6. Step 6: Final answer
    x = 569,029.02

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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.