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Finding the Third Proportional to 118,204 and 177,306

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Solution

The third proportional to 118,204 and 177,306 is: 265,959

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,204 : 177,306 = 177,306 : x
  2. Step 2: Convert to fraction form
    118,204/177,306 = 177,306/x
  3. Step 3: Cross multiply
    118,204x = 177,306 × 177,306
  4. Step 4: Simplify right side
    118,204x = 31,437,417,636
  5. Step 5: Solve for x
    x = 31,437,417,636/118,204
  6. Step 6: Final answer
    x = 265,959

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.