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Finding the Third Proportional to 161,334 and 236,286

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Solution

The third proportional to 161,334 and 236,286 is: 346,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,334 : 236,286 = 236,286 : x
  2. Step 2: Convert to fraction form
    161,334/236,286 = 236,286/x
  3. Step 3: Cross multiply
    161,334x = 236,286 × 236,286
  4. Step 4: Simplify right side
    161,334x = 55,831,073,796
  5. Step 5: Solve for x
    x = 55,831,073,796/161,334
  6. Step 6: Final answer
    x = 346,058.94

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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.