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Finding the Third Proportional to 237,902 and 341,950

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Solution

The third proportional to 237,902 and 341,950 is: 491,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,902 : 341,950 = 341,950 : x
  2. Step 2: Convert to fraction form
    237,902/341,950 = 341,950/x
  3. Step 3: Cross multiply
    237,902x = 341,950 × 341,950
  4. Step 4: Simplify right side
    237,902x = 116,929,802,500
  5. Step 5: Solve for x
    x = 116,929,802,500/237,902
  6. Step 6: Final answer
    x = 491,504.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.