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Finding the Third Proportional to 151,906 and 240,227

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Solution

The third proportional to 151,906 and 240,227 is: 379,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,906 : 240,227 = 240,227 : x
  2. Step 2: Convert to fraction form
    151,906/240,227 = 240,227/x
  3. Step 3: Cross multiply
    151,906x = 240,227 × 240,227
  4. Step 4: Simplify right side
    151,906x = 57,709,011,529
  5. Step 5: Solve for x
    x = 57,709,011,529/151,906
  6. Step 6: Final answer
    x = 379,899.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.