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Finding the Third Proportional to 251,849.25 and 380,199.38

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Solution

The third proportional to 251,849.25 and 380,199.38 is: 573,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,849.25 : 380,199.38 = 380,199.38 : x
  2. Step 2: Convert to fraction form
    251,849.25/380,199.38 = 380,199.38/x
  3. Step 3: Cross multiply
    251,849.25x = 380,199.38 × 380,199.38
  4. Step 4: Simplify right side
    251,849.25x = 144,551,564,750.39
  5. Step 5: Solve for x
    x = 144,551,564,750.39/251,849.25
  6. Step 6: Final answer
    x = 573,960.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.