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Finding the Third Proportional to 153,021 and 331,451

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Solution

The third proportional to 153,021 and 331,451 is: 717,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,021 : 331,451 = 331,451 : x
  2. Step 2: Convert to fraction form
    153,021/331,451 = 331,451/x
  3. Step 3: Cross multiply
    153,021x = 331,451 × 331,451
  4. Step 4: Simplify right side
    153,021x = 109,859,765,401
  5. Step 5: Solve for x
    x = 109,859,765,401/153,021
  6. Step 6: Final answer
    x = 717,939.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.