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Finding the Third Proportional to 166,544 and 359,674

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Solution

The third proportional to 166,544 and 359,674 is: 776,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,544 : 359,674 = 359,674 : x
  2. Step 2: Convert to fraction form
    166,544/359,674 = 359,674/x
  3. Step 3: Cross multiply
    166,544x = 359,674 × 359,674
  4. Step 4: Simplify right side
    166,544x = 129,365,386,276
  5. Step 5: Solve for x
    x = 129,365,386,276/166,544
  6. Step 6: Final answer
    x = 776,764.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.