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Finding the Third Proportional to 148,529 and 320,733

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Solution

The third proportional to 148,529 and 320,733 is: 692,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,529 : 320,733 = 320,733 : x
  2. Step 2: Convert to fraction form
    148,529/320,733 = 320,733/x
  3. Step 3: Cross multiply
    148,529x = 320,733 × 320,733
  4. Step 4: Simplify right side
    148,529x = 102,869,657,289
  5. Step 5: Solve for x
    x = 102,869,657,289/148,529
  6. Step 6: Final answer
    x = 692,589.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.