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Finding the Third Proportional to 256,029.75 and 368,802

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Solution

The third proportional to 256,029.75 and 368,802 is: 531,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,029.75 : 368,802 = 368,802 : x
  2. Step 2: Convert to fraction form
    256,029.75/368,802 = 368,802/x
  3. Step 3: Cross multiply
    256,029.75x = 368,802 × 368,802
  4. Step 4: Simplify right side
    256,029.75x = 136,014,915,204
  5. Step 5: Solve for x
    x = 136,014,915,204/256,029.75
  6. Step 6: Final answer
    x = 531,246.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.