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Finding the Third Proportional to 109,868 and 237,228

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Solution

The third proportional to 109,868 and 237,228 is: 512,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,868 : 237,228 = 237,228 : x
  2. Step 2: Convert to fraction form
    109,868/237,228 = 237,228/x
  3. Step 3: Cross multiply
    109,868x = 237,228 × 237,228
  4. Step 4: Simplify right side
    109,868x = 56,277,123,984
  5. Step 5: Solve for x
    x = 56,277,123,984/109,868
  6. Step 6: Final answer
    x = 512,224.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.