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Finding the Third Proportional to 103,740 and 226,326

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Solution

The third proportional to 103,740 and 226,326 is: 493,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,740 : 226,326 = 226,326 : x
  2. Step 2: Convert to fraction form
    103,740/226,326 = 226,326/x
  3. Step 3: Cross multiply
    103,740x = 226,326 × 226,326
  4. Step 4: Simplify right side
    103,740x = 51,223,458,276
  5. Step 5: Solve for x
    x = 51,223,458,276/103,740
  6. Step 6: Final answer
    x = 493,767.67

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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.