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Finding the Third Proportional to 88,457 and 186,898

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Solution

The third proportional to 88,457 and 186,898 is: 394,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,457 : 186,898 = 186,898 : x
  2. Step 2: Convert to fraction form
    88,457/186,898 = 186,898/x
  3. Step 3: Cross multiply
    88,457x = 186,898 × 186,898
  4. Step 4: Simplify right side
    88,457x = 34,930,862,404
  5. Step 5: Solve for x
    x = 34,930,862,404/88,457
  6. Step 6: Final answer
    x = 394,890.88

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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.