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Finding the Third Proportional to 237,910 and 341,959

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Solution

The third proportional to 237,910 and 341,959 is: 491,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,910 : 341,959 = 341,959 : x
  2. Step 2: Convert to fraction form
    237,910/341,959 = 341,959/x
  3. Step 3: Cross multiply
    237,910x = 341,959 × 341,959
  4. Step 4: Simplify right side
    237,910x = 116,935,957,681
  5. Step 5: Solve for x
    x = 116,935,957,681/237,910
  6. Step 6: Final answer
    x = 491,513.42

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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.