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Finding the Third Proportional to 173,263 and 374,957

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Solution

The third proportional to 173,263 and 374,957 is: 811,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,263 : 374,957 = 374,957 : x
  2. Step 2: Convert to fraction form
    173,263/374,957 = 374,957/x
  3. Step 3: Cross multiply
    173,263x = 374,957 × 374,957
  4. Step 4: Simplify right side
    173,263x = 140,592,751,849
  5. Step 5: Solve for x
    x = 140,592,751,849/173,263
  6. Step 6: Final answer
    x = 811,441.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.