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Finding the Third Proportional to 160,083 and 225,234

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Solution

The third proportional to 160,083 and 225,234 is: 316,900.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,083 : 225,234 = 225,234 : x
  2. Step 2: Convert to fraction form
    160,083/225,234 = 225,234/x
  3. Step 3: Cross multiply
    160,083x = 225,234 × 225,234
  4. Step 4: Simplify right side
    160,083x = 50,730,354,756
  5. Step 5: Solve for x
    x = 50,730,354,756/160,083
  6. Step 6: Final answer
    x = 316,900.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.