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Finding the Third Proportional to 146,868 and 221,678

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Solution

The third proportional to 146,868 and 221,678 is: 334,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,868 : 221,678 = 221,678 : x
  2. Step 2: Convert to fraction form
    146,868/221,678 = 221,678/x
  3. Step 3: Cross multiply
    146,868x = 221,678 × 221,678
  4. Step 4: Simplify right side
    146,868x = 49,141,135,684
  5. Step 5: Solve for x
    x = 49,141,135,684/146,868
  6. Step 6: Final answer
    x = 334,593.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.