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Finding the Third Proportional to 177,831 and 316,189.13

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Solution

The third proportional to 177,831 and 316,189.13 is: 562,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,831 : 316,189.13 = 316,189.13 : x
  2. Step 2: Convert to fraction form
    177,831/316,189.13 = 316,189.13/x
  3. Step 3: Cross multiply
    177,831x = 316,189.13 × 316,189.13
  4. Step 4: Simplify right side
    177,831x = 99,975,562,768.27
  5. Step 5: Solve for x
    x = 99,975,562,768.27/177,831
  6. Step 6: Final answer
    x = 562,194.23

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.