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Finding the Third Proportional to 138,242 and 302,404

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Solution

The third proportional to 138,242 and 302,404 is: 661,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,242 : 302,404 = 302,404 : x
  2. Step 2: Convert to fraction form
    138,242/302,404 = 302,404/x
  3. Step 3: Cross multiply
    138,242x = 302,404 × 302,404
  4. Step 4: Simplify right side
    138,242x = 91,448,179,216
  5. Step 5: Solve for x
    x = 91,448,179,216/138,242
  6. Step 6: Final answer
    x = 661,507.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.