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Finding the Third Proportional to 146,462 and 234,433

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Solution

The third proportional to 146,462 and 234,433 is: 375,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,462 : 234,433 = 234,433 : x
  2. Step 2: Convert to fraction form
    146,462/234,433 = 234,433/x
  3. Step 3: Cross multiply
    146,462x = 234,433 × 234,433
  4. Step 4: Simplify right side
    146,462x = 54,958,831,489
  5. Step 5: Solve for x
    x = 54,958,831,489/146,462
  6. Step 6: Final answer
    x = 375,242.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.