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Finding the Third Proportional to 203,174 and 440,248

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Solution

The third proportional to 203,174 and 440,248 is: 953,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,174 : 440,248 = 440,248 : x
  2. Step 2: Convert to fraction form
    203,174/440,248 = 440,248/x
  3. Step 3: Cross multiply
    203,174x = 440,248 × 440,248
  4. Step 4: Simplify right side
    203,174x = 193,818,301,504
  5. Step 5: Solve for x
    x = 193,818,301,504/203,174
  6. Step 6: Final answer
    x = 953,952.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.