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Finding the Third Proportional to 136,144 and 299,166

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Solution

The third proportional to 136,144 and 299,166 is: 657,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,144 : 299,166 = 299,166 : x
  2. Step 2: Convert to fraction form
    136,144/299,166 = 299,166/x
  3. Step 3: Cross multiply
    136,144x = 299,166 × 299,166
  4. Step 4: Simplify right side
    136,144x = 89,500,295,556
  5. Step 5: Solve for x
    x = 89,500,295,556/136,144
  6. Step 6: Final answer
    x = 657,394.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.