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Finding the Third Proportional to 103,699 and 226,160

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Solution

The third proportional to 103,699 and 226,160 is: 493,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,699 : 226,160 = 226,160 : x
  2. Step 2: Convert to fraction form
    103,699/226,160 = 226,160/x
  3. Step 3: Cross multiply
    103,699x = 226,160 × 226,160
  4. Step 4: Simplify right side
    103,699x = 51,148,345,600
  5. Step 5: Solve for x
    x = 51,148,345,600/103,699
  6. Step 6: Final answer
    x = 493,238.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.