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Finding the Third Proportional to 139,834 and 302,996

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Solution

The third proportional to 139,834 and 302,996 is: 656,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,834 : 302,996 = 302,996 : x
  2. Step 2: Convert to fraction form
    139,834/302,996 = 302,996/x
  3. Step 3: Cross multiply
    139,834x = 302,996 × 302,996
  4. Step 4: Simplify right side
    139,834x = 91,806,576,016
  5. Step 5: Solve for x
    x = 91,806,576,016/139,834
  6. Step 6: Final answer
    x = 656,539.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.