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Finding the Third Proportional to 76,327 and 164,318

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Solution

The third proportional to 76,327 and 164,318 is: 353,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,327 : 164,318 = 164,318 : x
  2. Step 2: Convert to fraction form
    76,327/164,318 = 164,318/x
  3. Step 3: Cross multiply
    76,327x = 164,318 × 164,318
  4. Step 4: Simplify right side
    76,327x = 27,000,405,124
  5. Step 5: Solve for x
    x = 27,000,405,124/76,327
  6. Step 6: Final answer
    x = 353,746.45

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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.