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Finding the Third Proportional to 139,236 and 224,190

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Solution

The third proportional to 139,236 and 224,190 is: 360,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,236 : 224,190 = 224,190 : x
  2. Step 2: Convert to fraction form
    139,236/224,190 = 224,190/x
  3. Step 3: Cross multiply
    139,236x = 224,190 × 224,190
  4. Step 4: Simplify right side
    139,236x = 50,261,156,100
  5. Step 5: Solve for x
    x = 50,261,156,100/139,236
  6. Step 6: Final answer
    x = 360,978.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.