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Finding the Third Proportional to 132,318 and 212,084

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Solution

The third proportional to 132,318 and 212,084 is: 339,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,318 : 212,084 = 212,084 : x
  2. Step 2: Convert to fraction form
    132,318/212,084 = 212,084/x
  3. Step 3: Cross multiply
    132,318x = 212,084 × 212,084
  4. Step 4: Simplify right side
    132,318x = 44,979,623,056
  5. Step 5: Solve for x
    x = 44,979,623,056/132,318
  6. Step 6: Final answer
    x = 339,935.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.