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Finding the Third Proportional to 160,826 and 236,425

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Solution

The third proportional to 160,826 and 236,425 is: 347,560.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,826 : 236,425 = 236,425 : x
  2. Step 2: Convert to fraction form
    160,826/236,425 = 236,425/x
  3. Step 3: Cross multiply
    160,826x = 236,425 × 236,425
  4. Step 4: Simplify right side
    160,826x = 55,896,780,625
  5. Step 5: Solve for x
    x = 55,896,780,625/160,826
  6. Step 6: Final answer
    x = 347,560.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.