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Finding the Third Proportional to 212,325.05 and 297,619.95

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Solution

The third proportional to 212,325.05 and 297,619.95 is: 417,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,325.05 : 297,619.95 = 297,619.95 : x
  2. Step 2: Convert to fraction form
    212,325.05/297,619.95 = 297,619.95/x
  3. Step 3: Cross multiply
    212,325.05x = 297,619.95 × 297,619.95
  4. Step 4: Simplify right side
    212,325.05x = 88,577,631,847.82
  5. Step 5: Solve for x
    x = 88,577,631,847.82/212,325.05
  6. Step 6: Final answer
    x = 417,179.38

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.