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Finding the Third Proportional to 205,374 and 305,049

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Solution

The third proportional to 205,374 and 305,049 is: 453,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,374 : 305,049 = 305,049 : x
  2. Step 2: Convert to fraction form
    205,374/305,049 = 305,049/x
  3. Step 3: Cross multiply
    205,374x = 305,049 × 305,049
  4. Step 4: Simplify right side
    205,374x = 93,054,892,401
  5. Step 5: Solve for x
    x = 93,054,892,401/205,374
  6. Step 6: Final answer
    x = 453,099.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.