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Finding the Third Proportional to 103,697 and 226,155

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Solution

The third proportional to 103,697 and 226,155 is: 493,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697 : 226,155 = 226,155 : x
  2. Step 2: Convert to fraction form
    103,697/226,155 = 226,155/x
  3. Step 3: Cross multiply
    103,697x = 226,155 × 226,155
  4. Step 4: Simplify right side
    103,697x = 51,146,084,025
  5. Step 5: Solve for x
    x = 51,146,084,025/103,697
  6. Step 6: Final answer
    x = 493,226.27

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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.