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Finding the Third Proportional to 134,341 and 283,261

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Solution

The third proportional to 134,341 and 283,261 is: 597,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,341 : 283,261 = 283,261 : x
  2. Step 2: Convert to fraction form
    134,341/283,261 = 283,261/x
  3. Step 3: Cross multiply
    134,341x = 283,261 × 283,261
  4. Step 4: Simplify right side
    134,341x = 80,236,794,121
  5. Step 5: Solve for x
    x = 80,236,794,121/134,341
  6. Step 6: Final answer
    x = 597,262.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.