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Finding the Third Proportional to 206,236 and 452,312

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Solution

The third proportional to 206,236 and 452,312 is: 992,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,236 : 452,312 = 452,312 : x
  2. Step 2: Convert to fraction form
    206,236/452,312 = 452,312/x
  3. Step 3: Cross multiply
    206,236x = 452,312 × 452,312
  4. Step 4: Simplify right side
    206,236x = 204,586,145,344
  5. Step 5: Solve for x
    x = 204,586,145,344/206,236
  6. Step 6: Final answer
    x = 992,000.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.