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Finding the Third Proportional to 145,640 and 226,227

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Solution

The third proportional to 145,640 and 226,227 is: 351,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,640 : 226,227 = 226,227 : x
  2. Step 2: Convert to fraction form
    145,640/226,227 = 226,227/x
  3. Step 3: Cross multiply
    145,640x = 226,227 × 226,227
  4. Step 4: Simplify right side
    145,640x = 51,178,655,529
  5. Step 5: Solve for x
    x = 51,178,655,529/145,640
  6. Step 6: Final answer
    x = 351,405.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.