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Finding the Third Proportional to 207,102 and 443,700

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Solution

The third proportional to 207,102 and 443,700 is: 950,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,102 : 443,700 = 443,700 : x
  2. Step 2: Convert to fraction form
    207,102/443,700 = 443,700/x
  3. Step 3: Cross multiply
    207,102x = 443,700 × 443,700
  4. Step 4: Simplify right side
    207,102x = 196,869,690,000
  5. Step 5: Solve for x
    x = 196,869,690,000/207,102
  6. Step 6: Final answer
    x = 950,592.90

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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.