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Finding the Third Proportional to 212,087.25 and 311,002.88

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Solution

The third proportional to 212,087.25 and 311,002.88 is: 456,051.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,087.25 : 311,002.88 = 311,002.88 : x
  2. Step 2: Convert to fraction form
    212,087.25/311,002.88 = 311,002.88/x
  3. Step 3: Cross multiply
    212,087.25x = 311,002.88 × 311,002.88
  4. Step 4: Simplify right side
    212,087.25x = 96,722,788,258.27
  5. Step 5: Solve for x
    x = 96,722,788,258.27/212,087.25
  6. Step 6: Final answer
    x = 456,051.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.