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Finding the Third Proportional to 177,024 and 382,220

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Solution

The third proportional to 177,024 and 382,220 is: 825,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,024 : 382,220 = 382,220 : x
  2. Step 2: Convert to fraction form
    177,024/382,220 = 382,220/x
  3. Step 3: Cross multiply
    177,024x = 382,220 × 382,220
  4. Step 4: Simplify right side
    177,024x = 146,092,128,400
  5. Step 5: Solve for x
    x = 146,092,128,400/177,024
  6. Step 6: Final answer
    x = 825,267.36

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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.