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Finding the Third Proportional to 177,119 and 382,221

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Solution

The third proportional to 177,119 and 382,221 is: 824,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,119 : 382,221 = 382,221 : x
  2. Step 2: Convert to fraction form
    177,119/382,221 = 382,221/x
  3. Step 3: Cross multiply
    177,119x = 382,221 × 382,221
  4. Step 4: Simplify right side
    177,119x = 146,092,892,841
  5. Step 5: Solve for x
    x = 146,092,892,841/177,119
  6. Step 6: Final answer
    x = 824,829.03

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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.