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Finding the Third Proportional to 187,406 and 289,868

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Solution

The third proportional to 187,406 and 289,868 is: 448,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,406 : 289,868 = 289,868 : x
  2. Step 2: Convert to fraction form
    187,406/289,868 = 289,868/x
  3. Step 3: Cross multiply
    187,406x = 289,868 × 289,868
  4. Step 4: Simplify right side
    187,406x = 84,023,457,424
  5. Step 5: Solve for x
    x = 84,023,457,424/187,406
  6. Step 6: Final answer
    x = 448,349.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.