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Finding the Third Proportional to 77,774 and 166,564

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Solution

The third proportional to 77,774 and 166,564 is: 356,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,774 : 166,564 = 166,564 : x
  2. Step 2: Convert to fraction form
    77,774/166,564 = 166,564/x
  3. Step 3: Cross multiply
    77,774x = 166,564 × 166,564
  4. Step 4: Simplify right side
    77,774x = 27,743,566,096
  5. Step 5: Solve for x
    x = 27,743,566,096/77,774
  6. Step 6: Final answer
    x = 356,720.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.