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Finding the Third Proportional to 118,226 and 259,419

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Solution

The third proportional to 118,226 and 259,419 is: 569,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,226 : 259,419 = 259,419 : x
  2. Step 2: Convert to fraction form
    118,226/259,419 = 259,419/x
  3. Step 3: Cross multiply
    118,226x = 259,419 × 259,419
  4. Step 4: Simplify right side
    118,226x = 67,298,217,561
  5. Step 5: Solve for x
    x = 67,298,217,561/118,226
  6. Step 6: Final answer
    x = 569,233.65

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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.