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Finding the Third Proportional to 117,982 and 259,292

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Solution

The third proportional to 117,982 and 259,292 is: 569,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,982 : 259,292 = 259,292 : x
  2. Step 2: Convert to fraction form
    117,982/259,292 = 259,292/x
  3. Step 3: Cross multiply
    117,982x = 259,292 × 259,292
  4. Step 4: Simplify right side
    117,982x = 67,232,341,264
  5. Step 5: Solve for x
    x = 67,232,341,264/117,982
  6. Step 6: Final answer
    x = 569,852.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.