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Finding the Third Proportional to 184,396 and 375,556

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Solution

The third proportional to 184,396 and 375,556 is: 764,888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,396 : 375,556 = 375,556 : x
  2. Step 2: Convert to fraction form
    184,396/375,556 = 375,556/x
  3. Step 3: Cross multiply
    184,396x = 375,556 × 375,556
  4. Step 4: Simplify right side
    184,396x = 141,042,309,136
  5. Step 5: Solve for x
    x = 141,042,309,136/184,396
  6. Step 6: Final answer
    x = 764,888.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.