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Finding the Third Proportional to 105,474 and 234,277

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Solution

The third proportional to 105,474 and 234,277 is: 520,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,474 : 234,277 = 234,277 : x
  2. Step 2: Convert to fraction form
    105,474/234,277 = 234,277/x
  3. Step 3: Cross multiply
    105,474x = 234,277 × 234,277
  4. Step 4: Simplify right side
    105,474x = 54,885,712,729
  5. Step 5: Solve for x
    x = 54,885,712,729/105,474
  6. Step 6: Final answer
    x = 520,371.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.