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Finding the Third Proportional to 155,518 and 320,851

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Solution

The third proportional to 155,518 and 320,851 is: 661,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,518 : 320,851 = 320,851 : x
  2. Step 2: Convert to fraction form
    155,518/320,851 = 320,851/x
  3. Step 3: Cross multiply
    155,518x = 320,851 × 320,851
  4. Step 4: Simplify right side
    155,518x = 102,945,364,201
  5. Step 5: Solve for x
    x = 102,945,364,201/155,518
  6. Step 6: Final answer
    x = 661,951.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.