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Finding the Third Proportional to 212,694.19 and 329,497.88

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Solution

The third proportional to 212,694.19 and 329,497.88 is: 510,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,694.19 : 329,497.88 = 329,497.88 : x
  2. Step 2: Convert to fraction form
    212,694.19/329,497.88 = 329,497.88/x
  3. Step 3: Cross multiply
    212,694.19x = 329,497.88 × 329,497.88
  4. Step 4: Simplify right side
    212,694.19x = 108,568,849,629.52
  5. Step 5: Solve for x
    x = 108,568,849,629.52/212,694.19
  6. Step 6: Final answer
    x = 510,445.78

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