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Finding the Third Proportional to 139,956 and 302,014

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Solution

The third proportional to 139,956 and 302,014 is: 651,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,956 : 302,014 = 302,014 : x
  2. Step 2: Convert to fraction form
    139,956/302,014 = 302,014/x
  3. Step 3: Cross multiply
    139,956x = 302,014 × 302,014
  4. Step 4: Simplify right side
    139,956x = 91,212,456,196
  5. Step 5: Solve for x
    x = 91,212,456,196/139,956
  6. Step 6: Final answer
    x = 651,722.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.