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Finding the Third Proportional to 136,789 and 284,447

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Solution

The third proportional to 136,789 and 284,447 is: 591,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,789 : 284,447 = 284,447 : x
  2. Step 2: Convert to fraction form
    136,789/284,447 = 284,447/x
  3. Step 3: Cross multiply
    136,789x = 284,447 × 284,447
  4. Step 4: Simplify right side
    136,789x = 80,910,095,809
  5. Step 5: Solve for x
    x = 80,910,095,809/136,789
  6. Step 6: Final answer
    x = 591,495.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.