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Finding the Third Proportional to 65,306 and 145,204

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Solution

The third proportional to 65,306 and 145,204 is: 322,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,306 : 145,204 = 145,204 : x
  2. Step 2: Convert to fraction form
    65,306/145,204 = 145,204/x
  3. Step 3: Cross multiply
    65,306x = 145,204 × 145,204
  4. Step 4: Simplify right side
    65,306x = 21,084,201,616
  5. Step 5: Solve for x
    x = 21,084,201,616/65,306
  6. Step 6: Final answer
    x = 322,852.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.