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Finding the Third Proportional to 203,510 and 443,178

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Solution

The third proportional to 203,510 and 443,178 is: 965,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,510 : 443,178 = 443,178 : x
  2. Step 2: Convert to fraction form
    203,510/443,178 = 443,178/x
  3. Step 3: Cross multiply
    203,510x = 443,178 × 443,178
  4. Step 4: Simplify right side
    203,510x = 196,406,739,684
  5. Step 5: Solve for x
    x = 196,406,739,684/203,510
  6. Step 6: Final answer
    x = 965,096.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.