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Finding the Third Proportional to 151,202 and 331,132

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Solution

The third proportional to 151,202 and 331,132 is: 725,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,202 : 331,132 = 331,132 : x
  2. Step 2: Convert to fraction form
    151,202/331,132 = 331,132/x
  3. Step 3: Cross multiply
    151,202x = 331,132 × 331,132
  4. Step 4: Simplify right side
    151,202x = 109,648,401,424
  5. Step 5: Solve for x
    x = 109,648,401,424/151,202
  6. Step 6: Final answer
    x = 725,178.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.