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Finding the Third Proportional to 175,262 and 380,049

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Solution

The third proportional to 175,262 and 380,049 is: 824,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,262 : 380,049 = 380,049 : x
  2. Step 2: Convert to fraction form
    175,262/380,049 = 380,049/x
  3. Step 3: Cross multiply
    175,262x = 380,049 × 380,049
  4. Step 4: Simplify right side
    175,262x = 144,437,242,401
  5. Step 5: Solve for x
    x = 144,437,242,401/175,262
  6. Step 6: Final answer
    x = 824,121.84

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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.