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Finding the Third Proportional to 244,138 and 365,966

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Solution

The third proportional to 244,138 and 365,966 is: 548,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,138 : 365,966 = 365,966 : x
  2. Step 2: Convert to fraction form
    244,138/365,966 = 365,966/x
  3. Step 3: Cross multiply
    244,138x = 365,966 × 365,966
  4. Step 4: Simplify right side
    244,138x = 133,931,113,156
  5. Step 5: Solve for x
    x = 133,931,113,156/244,138
  6. Step 6: Final answer
    x = 548,587.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.