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Finding the Third Proportional to 212,286.75 and 340,881.75

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Solution

The third proportional to 212,286.75 and 340,881.75 is: 547,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,286.75 : 340,881.75 = 340,881.75 : x
  2. Step 2: Convert to fraction form
    212,286.75/340,881.75 = 340,881.75/x
  3. Step 3: Cross multiply
    212,286.75x = 340,881.75 × 340,881.75
  4. Step 4: Simplify right side
    212,286.75x = 116,200,367,483.06
  5. Step 5: Solve for x
    x = 116,200,367,483.06/212,286.75
  6. Step 6: Final answer
    x = 547,374.57

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.