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Finding the Third Proportional to 146,977 and 226,214

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Solution

The third proportional to 146,977 and 226,214 is: 348,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,977 : 226,214 = 226,214 : x
  2. Step 2: Convert to fraction form
    146,977/226,214 = 226,214/x
  3. Step 3: Cross multiply
    146,977x = 226,214 × 226,214
  4. Step 4: Simplify right side
    146,977x = 51,172,773,796
  5. Step 5: Solve for x
    x = 51,172,773,796/146,977
  6. Step 6: Final answer
    x = 348,168.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.