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Finding the Third Proportional to 235,980 and 373,839

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Solution

The third proportional to 235,980 and 373,839 is: 592,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,980 : 373,839 = 373,839 : x
  2. Step 2: Convert to fraction form
    235,980/373,839 = 373,839/x
  3. Step 3: Cross multiply
    235,980x = 373,839 × 373,839
  4. Step 4: Simplify right side
    235,980x = 139,755,597,921
  5. Step 5: Solve for x
    x = 139,755,597,921/235,980
  6. Step 6: Final answer
    x = 592,234.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.