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Finding the Third Proportional to 162,556 and 347,644

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Solution

The third proportional to 162,556 and 347,644 is: 743,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,556 : 347,644 = 347,644 : x
  2. Step 2: Convert to fraction form
    162,556/347,644 = 347,644/x
  3. Step 3: Cross multiply
    162,556x = 347,644 × 347,644
  4. Step 4: Simplify right side
    162,556x = 120,856,350,736
  5. Step 5: Solve for x
    x = 120,856,350,736/162,556
  6. Step 6: Final answer
    x = 743,475.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.