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Finding the Third Proportional to 177,904 and 270,522

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Solution

The third proportional to 177,904 and 270,522 is: 411,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,904 : 270,522 = 270,522 : x
  2. Step 2: Convert to fraction form
    177,904/270,522 = 270,522/x
  3. Step 3: Cross multiply
    177,904x = 270,522 × 270,522
  4. Step 4: Simplify right side
    177,904x = 73,182,152,484
  5. Step 5: Solve for x
    x = 73,182,152,484/177,904
  6. Step 6: Final answer
    x = 411,357.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.