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Finding the Third Proportional to 150,465 and 327,903

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Solution

The third proportional to 150,465 and 327,903 is: 714,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,465 : 327,903 = 327,903 : x
  2. Step 2: Convert to fraction form
    150,465/327,903 = 327,903/x
  3. Step 3: Cross multiply
    150,465x = 327,903 × 327,903
  4. Step 4: Simplify right side
    150,465x = 107,520,377,409
  5. Step 5: Solve for x
    x = 107,520,377,409/150,465
  6. Step 6: Final answer
    x = 714,587.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.