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Finding the Third Proportional to 155,362 and 232,962

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Solution

The third proportional to 155,362 and 232,962 is: 349,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,362 : 232,962 = 232,962 : x
  2. Step 2: Convert to fraction form
    155,362/232,962 = 232,962/x
  3. Step 3: Cross multiply
    155,362x = 232,962 × 232,962
  4. Step 4: Simplify right side
    155,362x = 54,271,293,444
  5. Step 5: Solve for x
    x = 54,271,293,444/155,362
  6. Step 6: Final answer
    x = 349,321.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.