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Finding the Third Proportional to 160,625 and 235,176

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Solution

The third proportional to 160,625 and 235,176 is: 344,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,625 : 235,176 = 235,176 : x
  2. Step 2: Convert to fraction form
    160,625/235,176 = 235,176/x
  3. Step 3: Cross multiply
    160,625x = 235,176 × 235,176
  4. Step 4: Simplify right side
    160,625x = 55,307,750,976
  5. Step 5: Solve for x
    x = 55,307,750,976/160,625
  6. Step 6: Final answer
    x = 344,328.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.