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Finding the Third Proportional to 77,208 and 166,596

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Solution

The third proportional to 77,208 and 166,596 is: 359,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,208 : 166,596 = 166,596 : x
  2. Step 2: Convert to fraction form
    77,208/166,596 = 166,596/x
  3. Step 3: Cross multiply
    77,208x = 166,596 × 166,596
  4. Step 4: Simplify right side
    77,208x = 27,754,227,216
  5. Step 5: Solve for x
    x = 27,754,227,216/77,208
  6. Step 6: Final answer
    x = 359,473.46

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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.