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Finding the Third Proportional to 177,500 and 386,104

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Solution

The third proportional to 177,500 and 386,104 is: 839,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,500 : 386,104 = 386,104 : x
  2. Step 2: Convert to fraction form
    177,500/386,104 = 386,104/x
  3. Step 3: Cross multiply
    177,500x = 386,104 × 386,104
  4. Step 4: Simplify right side
    177,500x = 149,076,298,816
  5. Step 5: Solve for x
    x = 149,076,298,816/177,500
  6. Step 6: Final answer
    x = 839,866.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.