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Finding the Third Proportional to 118,526 and 259,192

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Solution

The third proportional to 118,526 and 259,192 is: 566,799.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,526 : 259,192 = 259,192 : x
  2. Step 2: Convert to fraction form
    118,526/259,192 = 259,192/x
  3. Step 3: Cross multiply
    118,526x = 259,192 × 259,192
  4. Step 4: Simplify right side
    118,526x = 67,180,492,864
  5. Step 5: Solve for x
    x = 67,180,492,864/118,526
  6. Step 6: Final answer
    x = 566,799.63

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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.