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Finding the Third Proportional to 160,313 and 250,175

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Solution

The third proportional to 160,313 and 250,175 is: 390,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,313 : 250,175 = 250,175 : x
  2. Step 2: Convert to fraction form
    160,313/250,175 = 250,175/x
  3. Step 3: Cross multiply
    160,313x = 250,175 × 250,175
  4. Step 4: Simplify right side
    160,313x = 62,587,530,625
  5. Step 5: Solve for x
    x = 62,587,530,625/160,313
  6. Step 6: Final answer
    x = 390,408.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.