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Finding the Third Proportional to 82,346 and 177,175

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Solution

The third proportional to 82,346 and 177,175 is: 381,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,346 : 177,175 = 177,175 : x
  2. Step 2: Convert to fraction form
    82,346/177,175 = 177,175/x
  3. Step 3: Cross multiply
    82,346x = 177,175 × 177,175
  4. Step 4: Simplify right side
    82,346x = 31,390,980,625
  5. Step 5: Solve for x
    x = 31,390,980,625/82,346
  6. Step 6: Final answer
    x = 381,208.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.