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Finding the Third Proportional to 182,008 and 275,556

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Solution

The third proportional to 182,008 and 275,556 is: 417,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,008 : 275,556 = 275,556 : x
  2. Step 2: Convert to fraction form
    182,008/275,556 = 275,556/x
  3. Step 3: Cross multiply
    182,008x = 275,556 × 275,556
  4. Step 4: Simplify right side
    182,008x = 75,931,109,136
  5. Step 5: Solve for x
    x = 75,931,109,136/182,008
  6. Step 6: Final answer
    x = 417,185.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.