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Finding the Third Proportional to 146,704 and 221,460

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Solution

The third proportional to 146,704 and 221,460 is: 334,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,704 : 221,460 = 221,460 : x
  2. Step 2: Convert to fraction form
    146,704/221,460 = 221,460/x
  3. Step 3: Cross multiply
    146,704x = 221,460 × 221,460
  4. Step 4: Simplify right side
    146,704x = 49,044,531,600
  5. Step 5: Solve for x
    x = 49,044,531,600/146,704
  6. Step 6: Final answer
    x = 334,309.44

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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.