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Finding the Third Proportional to 151,338 and 212,096

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Solution

The third proportional to 151,338 and 212,096 is: 297,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,338 : 212,096 = 212,096 : x
  2. Step 2: Convert to fraction form
    151,338/212,096 = 212,096/x
  3. Step 3: Cross multiply
    151,338x = 212,096 × 212,096
  4. Step 4: Simplify right side
    151,338x = 44,984,713,216
  5. Step 5: Solve for x
    x = 44,984,713,216/151,338
  6. Step 6: Final answer
    x = 297,246.65

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Why These Related Problems?

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