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Finding the Third Proportional to 139,968 and 302,031

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Solution

The third proportional to 139,968 and 302,031 is: 651,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968 : 302,031 = 302,031 : x
  2. Step 2: Convert to fraction form
    139,968/302,031 = 302,031/x
  3. Step 3: Cross multiply
    139,968x = 302,031 × 302,031
  4. Step 4: Simplify right side
    139,968x = 91,222,724,961
  5. Step 5: Solve for x
    x = 91,222,724,961/139,968
  6. Step 6: Final answer
    x = 651,739.86

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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.