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Finding the Third Proportional to 177,789 and 388,785

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Solution

The third proportional to 177,789 and 388,785 is: 850,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,789 : 388,785 = 388,785 : x
  2. Step 2: Convert to fraction form
    177,789/388,785 = 388,785/x
  3. Step 3: Cross multiply
    177,789x = 388,785 × 388,785
  4. Step 4: Simplify right side
    177,789x = 151,153,776,225
  5. Step 5: Solve for x
    x = 151,153,776,225/177,789
  6. Step 6: Final answer
    x = 850,186.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.