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Finding the Third Proportional to 150,737 and 331,066

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Solution

The third proportional to 150,737 and 331,066 is: 727,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,737 : 331,066 = 331,066 : x
  2. Step 2: Convert to fraction form
    150,737/331,066 = 331,066/x
  3. Step 3: Cross multiply
    150,737x = 331,066 × 331,066
  4. Step 4: Simplify right side
    150,737x = 109,604,696,356
  5. Step 5: Solve for x
    x = 109,604,696,356/150,737
  6. Step 6: Final answer
    x = 727,125.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.