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Finding the Third Proportional to 138,225 and 302,736

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Solution

The third proportional to 138,225 and 302,736 is: 663,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,225 : 302,736 = 302,736 : x
  2. Step 2: Convert to fraction form
    138,225/302,736 = 302,736/x
  3. Step 3: Cross multiply
    138,225x = 302,736 × 302,736
  4. Step 4: Simplify right side
    138,225x = 91,649,085,696
  5. Step 5: Solve for x
    x = 91,649,085,696/138,225
  6. Step 6: Final answer
    x = 663,042.76

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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.