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Finding the Third Proportional to 177,099.75 and 382,186.13

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Solution

The third proportional to 177,099.75 and 382,186.13 is: 824,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,099.75 : 382,186.13 = 382,186.13 : x
  2. Step 2: Convert to fraction form
    177,099.75/382,186.13 = 382,186.13/x
  3. Step 3: Cross multiply
    177,099.75x = 382,186.13 × 382,186.13
  4. Step 4: Simplify right side
    177,099.75x = 146,066,234,142.52
  5. Step 5: Solve for x
    x = 146,066,234,142.52/177,099.75
  6. Step 6: Final answer
    x = 824,768.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.