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Finding the Third Proportional to 177,014 and 382,297

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Solution

The third proportional to 177,014 and 382,297 is: 825,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,014 : 382,297 = 382,297 : x
  2. Step 2: Convert to fraction form
    177,014/382,297 = 382,297/x
  3. Step 3: Cross multiply
    177,014x = 382,297 × 382,297
  4. Step 4: Simplify right side
    177,014x = 146,150,996,209
  5. Step 5: Solve for x
    x = 146,150,996,209/177,014
  6. Step 6: Final answer
    x = 825,646.54

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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.