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Finding the Third Proportional to 206,915 and 443,358

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Solution

The third proportional to 206,915 and 443,358 is: 949,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,915 : 443,358 = 443,358 : x
  2. Step 2: Convert to fraction form
    206,915/443,358 = 443,358/x
  3. Step 3: Cross multiply
    206,915x = 443,358 × 443,358
  4. Step 4: Simplify right side
    206,915x = 196,566,316,164
  5. Step 5: Solve for x
    x = 196,566,316,164/206,915
  6. Step 6: Final answer
    x = 949,985.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.