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Finding the Third Proportional to 113,406 and 166,828

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Solution

The third proportional to 113,406 and 166,828 is: 245,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,406 : 166,828 = 166,828 : x
  2. Step 2: Convert to fraction form
    113,406/166,828 = 166,828/x
  3. Step 3: Cross multiply
    113,406x = 166,828 × 166,828
  4. Step 4: Simplify right side
    113,406x = 27,831,581,584
  5. Step 5: Solve for x
    x = 27,831,581,584/113,406
  6. Step 6: Final answer
    x = 245,415.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.