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Finding the Third Proportional to 234,754 and 351,231

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Solution

The third proportional to 234,754 and 351,231 is: 525,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,754 : 351,231 = 351,231 : x
  2. Step 2: Convert to fraction form
    234,754/351,231 = 351,231/x
  3. Step 3: Cross multiply
    234,754x = 351,231 × 351,231
  4. Step 4: Simplify right side
    234,754x = 123,363,215,361
  5. Step 5: Solve for x
    x = 123,363,215,361/234,754
  6. Step 6: Final answer
    x = 525,499.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.