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Finding the Third Proportional to 177,121 and 382,225

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Solution

The third proportional to 177,121 and 382,225 is: 824,836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,121 : 382,225 = 382,225 : x
  2. Step 2: Convert to fraction form
    177,121/382,225 = 382,225/x
  3. Step 3: Cross multiply
    177,121x = 382,225 × 382,225
  4. Step 4: Simplify right side
    177,121x = 146,095,950,625
  5. Step 5: Solve for x
    x = 146,095,950,625/177,121
  6. Step 6: Final answer
    x = 824,836.98

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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.