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Finding the Third Proportional to 234,184 and 347,212

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Solution

The third proportional to 234,184 and 347,212 is: 514,792.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,184 : 347,212 = 347,212 : x
  2. Step 2: Convert to fraction form
    234,184/347,212 = 347,212/x
  3. Step 3: Cross multiply
    234,184x = 347,212 × 347,212
  4. Step 4: Simplify right side
    234,184x = 120,556,172,944
  5. Step 5: Solve for x
    x = 120,556,172,944/234,184
  6. Step 6: Final answer
    x = 514,792.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.