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Finding the Third Proportional to 169,343 and 373,243

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Solution

The third proportional to 169,343 and 373,243 is: 822,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,343 : 373,243 = 373,243 : x
  2. Step 2: Convert to fraction form
    169,343/373,243 = 373,243/x
  3. Step 3: Cross multiply
    169,343x = 373,243 × 373,243
  4. Step 4: Simplify right side
    169,343x = 139,310,337,049
  5. Step 5: Solve for x
    x = 139,310,337,049/169,343
  6. Step 6: Final answer
    x = 822,651.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.