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Finding the Third Proportional to 235,590 and 375,234

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Solution

The third proportional to 235,590 and 375,234 is: 597,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,590 : 375,234 = 375,234 : x
  2. Step 2: Convert to fraction form
    235,590/375,234 = 375,234/x
  3. Step 3: Cross multiply
    235,590x = 375,234 × 375,234
  4. Step 4: Simplify right side
    235,590x = 140,800,554,756
  5. Step 5: Solve for x
    x = 140,800,554,756/235,590
  6. Step 6: Final answer
    x = 597,650.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.