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Finding the Third Proportional to 103,693 and 226,148

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Solution

The third proportional to 103,693 and 226,148 is: 493,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,693 : 226,148 = 226,148 : x
  2. Step 2: Convert to fraction form
    103,693/226,148 = 226,148/x
  3. Step 3: Cross multiply
    103,693x = 226,148 × 226,148
  4. Step 4: Simplify right side
    103,693x = 51,142,917,904
  5. Step 5: Solve for x
    x = 51,142,917,904/103,693
  6. Step 6: Final answer
    x = 493,214.76

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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.