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Finding the Third Proportional to 166,332 and 363,768

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Solution

The third proportional to 166,332 and 363,768 is: 795,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,332 : 363,768 = 363,768 : x
  2. Step 2: Convert to fraction form
    166,332/363,768 = 363,768/x
  3. Step 3: Cross multiply
    166,332x = 363,768 × 363,768
  4. Step 4: Simplify right side
    166,332x = 132,327,157,824
  5. Step 5: Solve for x
    x = 132,327,157,824/166,332
  6. Step 6: Final answer
    x = 795,560.43

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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.