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Finding the Third Proportional to 161,284 and 256,227

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Solution

The third proportional to 161,284 and 256,227 is: 407,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,284 : 256,227 = 256,227 : x
  2. Step 2: Convert to fraction form
    161,284/256,227 = 256,227/x
  3. Step 3: Cross multiply
    161,284x = 256,227 × 256,227
  4. Step 4: Simplify right side
    161,284x = 65,652,275,529
  5. Step 5: Solve for x
    x = 65,652,275,529/161,284
  6. Step 6: Final answer
    x = 407,060.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.