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Finding the Third Proportional to 105,201 and 227,898

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Solution

The third proportional to 105,201 and 227,898 is: 493,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,201 : 227,898 = 227,898 : x
  2. Step 2: Convert to fraction form
    105,201/227,898 = 227,898/x
  3. Step 3: Cross multiply
    105,201x = 227,898 × 227,898
  4. Step 4: Simplify right side
    105,201x = 51,937,498,404
  5. Step 5: Solve for x
    x = 51,937,498,404/105,201
  6. Step 6: Final answer
    x = 493,697.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.