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Finding the Third Proportional to 141,314 and 212,274

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Solution

The third proportional to 141,314 and 212,274 is: 318,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,314 : 212,274 = 212,274 : x
  2. Step 2: Convert to fraction form
    141,314/212,274 = 212,274/x
  3. Step 3: Cross multiply
    141,314x = 212,274 × 212,274
  4. Step 4: Simplify right side
    141,314x = 45,060,251,076
  5. Step 5: Solve for x
    x = 45,060,251,076/141,314
  6. Step 6: Final answer
    x = 318,866.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.