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Finding the Third Proportional to 147,844 and 226,201

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Solution

The third proportional to 147,844 and 226,201 is: 346,087.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,844 : 226,201 = 226,201 : x
  2. Step 2: Convert to fraction form
    147,844/226,201 = 226,201/x
  3. Step 3: Cross multiply
    147,844x = 226,201 × 226,201
  4. Step 4: Simplify right side
    147,844x = 51,166,892,401
  5. Step 5: Solve for x
    x = 51,166,892,401/147,844
  6. Step 6: Final answer
    x = 346,087.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.