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Finding the Third Proportional to 134,349 and 283,278

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Solution

The third proportional to 134,349 and 283,278 is: 597,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,349 : 283,278 = 283,278 : x
  2. Step 2: Convert to fraction form
    134,349/283,278 = 283,278/x
  3. Step 3: Cross multiply
    134,349x = 283,278 × 283,278
  4. Step 4: Simplify right side
    134,349x = 80,246,425,284
  5. Step 5: Solve for x
    x = 80,246,425,284/134,349
  6. Step 6: Final answer
    x = 597,298.27

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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.