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Finding the Third Proportional to 139,214 and 217,144

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Solution

The third proportional to 139,214 and 217,144 is: 338,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,214 : 217,144 = 217,144 : x
  2. Step 2: Convert to fraction form
    139,214/217,144 = 217,144/x
  3. Step 3: Cross multiply
    139,214x = 217,144 × 217,144
  4. Step 4: Simplify right side
    139,214x = 47,151,516,736
  5. Step 5: Solve for x
    x = 47,151,516,736/139,214
  6. Step 6: Final answer
    x = 338,698.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.