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Finding the Third Proportional to 169,692 and 365,610

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Solution

The third proportional to 169,692 and 365,610 is: 787,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,692 : 365,610 = 365,610 : x
  2. Step 2: Convert to fraction form
    169,692/365,610 = 365,610/x
  3. Step 3: Cross multiply
    169,692x = 365,610 × 365,610
  4. Step 4: Simplify right side
    169,692x = 133,670,672,100
  5. Step 5: Solve for x
    x = 133,670,672,100/169,692
  6. Step 6: Final answer
    x = 787,725.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.