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Finding the Third Proportional to 177,186 and 265,283

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Solution

The third proportional to 177,186 and 265,283 is: 397,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,186 : 265,283 = 265,283 : x
  2. Step 2: Convert to fraction form
    177,186/265,283 = 265,283/x
  3. Step 3: Cross multiply
    177,186x = 265,283 × 265,283
  4. Step 4: Simplify right side
    177,186x = 70,375,070,089
  5. Step 5: Solve for x
    x = 70,375,070,089/177,186
  6. Step 6: Final answer
    x = 397,181.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.