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Finding the Third Proportional to 166,603 and 359,816

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Solution

The third proportional to 166,603 and 359,816 is: 777,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,603 : 359,816 = 359,816 : x
  2. Step 2: Convert to fraction form
    166,603/359,816 = 359,816/x
  3. Step 3: Cross multiply
    166,603x = 359,816 × 359,816
  4. Step 4: Simplify right side
    166,603x = 129,467,553,856
  5. Step 5: Solve for x
    x = 129,467,553,856/166,603
  6. Step 6: Final answer
    x = 777,102.18

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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.