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Finding the Third Proportional to 212,600.32 and 329,194.76

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Solution

The third proportional to 212,600.32 and 329,194.76 is: 509,732.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,600.32 : 329,194.76 = 329,194.76 : x
  2. Step 2: Convert to fraction form
    212,600.32/329,194.76 = 329,194.76/x
  3. Step 3: Cross multiply
    212,600.32x = 329,194.76 × 329,194.76
  4. Step 4: Simplify right side
    212,600.32x = 108,369,188,571.23
  5. Step 5: Solve for x
    x = 108,369,188,571.23/212,600.32
  6. Step 6: Final answer
    x = 509,732.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.