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Finding the Third Proportional to 103,238 and 226,768

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Solution

The third proportional to 103,238 and 226,768 is: 498,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,238 : 226,768 = 226,768 : x
  2. Step 2: Convert to fraction form
    103,238/226,768 = 226,768/x
  3. Step 3: Cross multiply
    103,238x = 226,768 × 226,768
  4. Step 4: Simplify right side
    103,238x = 51,423,725,824
  5. Step 5: Solve for x
    x = 51,423,725,824/103,238
  6. Step 6: Final answer
    x = 498,108.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.