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Finding the Third Proportional to 177,108.75 and 382,204.13

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Solution

The third proportional to 177,108.75 and 382,204.13 is: 824,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,108.75 : 382,204.13 = 382,204.13 : x
  2. Step 2: Convert to fraction form
    177,108.75/382,204.13 = 382,204.13/x
  3. Step 3: Cross multiply
    177,108.75x = 382,204.13 × 382,204.13
  4. Step 4: Simplify right side
    177,108.75x = 146,079,993,167.02
  5. Step 5: Solve for x
    x = 146,079,993,167.02/177,108.75
  6. Step 6: Final answer
    x = 824,803.93

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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.