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Finding the Third Proportional to 159,469 and 256,944

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Solution

The third proportional to 159,469 and 256,944 is: 414,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,469 : 256,944 = 256,944 : x
  2. Step 2: Convert to fraction form
    159,469/256,944 = 256,944/x
  3. Step 3: Cross multiply
    159,469x = 256,944 × 256,944
  4. Step 4: Simplify right side
    159,469x = 66,020,219,136
  5. Step 5: Solve for x
    x = 66,020,219,136/159,469
  6. Step 6: Final answer
    x = 414,000.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.