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Finding the Third Proportional to 132,192 and 279,456

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Solution

The third proportional to 132,192 and 279,456 is: 590,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,192 : 279,456 = 279,456 : x
  2. Step 2: Convert to fraction form
    132,192/279,456 = 279,456/x
  3. Step 3: Cross multiply
    132,192x = 279,456 × 279,456
  4. Step 4: Simplify right side
    132,192x = 78,095,655,936
  5. Step 5: Solve for x
    x = 78,095,655,936/132,192
  6. Step 6: Final answer
    x = 590,774.45

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.