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Finding the Third Proportional to 134,121 and 279,257

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Solution

The third proportional to 134,121 and 279,257 is: 581,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,121 : 279,257 = 279,257 : x
  2. Step 2: Convert to fraction form
    134,121/279,257 = 279,257/x
  3. Step 3: Cross multiply
    134,121x = 279,257 × 279,257
  4. Step 4: Simplify right side
    134,121x = 77,984,472,049
  5. Step 5: Solve for x
    x = 77,984,472,049/134,121
  6. Step 6: Final answer
    x = 581,448.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.