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Finding the Third Proportional to 163,066 and 355,079

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Solution

The third proportional to 163,066 and 355,079 is: 773,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,066 : 355,079 = 355,079 : x
  2. Step 2: Convert to fraction form
    163,066/355,079 = 355,079/x
  3. Step 3: Cross multiply
    163,066x = 355,079 × 355,079
  4. Step 4: Simplify right side
    163,066x = 126,081,096,241
  5. Step 5: Solve for x
    x = 126,081,096,241/163,066
  6. Step 6: Final answer
    x = 773,190.59

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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.