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Finding the Third Proportional to 150,920 and 221,032

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Solution

The third proportional to 150,920 and 221,032 is: 323,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,920 : 221,032 = 221,032 : x
  2. Step 2: Convert to fraction form
    150,920/221,032 = 221,032/x
  3. Step 3: Cross multiply
    150,920x = 221,032 × 221,032
  4. Step 4: Simplify right side
    150,920x = 48,855,145,024
  5. Step 5: Solve for x
    x = 48,855,145,024/150,920
  6. Step 6: Final answer
    x = 323,715.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.