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Finding the Third Proportional to 177,010 and 382,196

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Solution

The third proportional to 177,010 and 382,196 is: 825,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,010 : 382,196 = 382,196 : x
  2. Step 2: Convert to fraction form
    177,010/382,196 = 382,196/x
  3. Step 3: Cross multiply
    177,010x = 382,196 × 382,196
  4. Step 4: Simplify right side
    177,010x = 146,073,782,416
  5. Step 5: Solve for x
    x = 146,073,782,416/177,010
  6. Step 6: Final answer
    x = 825,228.98

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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.