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Finding the Third Proportional to 177,954 and 240,201

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Solution

The third proportional to 177,954 and 240,201 is: 324,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,954 : 240,201 = 240,201 : x
  2. Step 2: Convert to fraction form
    177,954/240,201 = 240,201/x
  3. Step 3: Cross multiply
    177,954x = 240,201 × 240,201
  4. Step 4: Simplify right side
    177,954x = 57,696,520,401
  5. Step 5: Solve for x
    x = 57,696,520,401/177,954
  6. Step 6: Final answer
    x = 324,221.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.