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Finding the Third Proportional to 177,827 and 316,182

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Solution

The third proportional to 177,827 and 316,182 is: 562,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,827 : 316,182 = 316,182 : x
  2. Step 2: Convert to fraction form
    177,827/316,182 = 316,182/x
  3. Step 3: Cross multiply
    177,827x = 316,182 × 316,182
  4. Step 4: Simplify right side
    177,827x = 99,971,057,124
  5. Step 5: Solve for x
    x = 99,971,057,124/177,827
  6. Step 6: Final answer
    x = 562,181.54

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.