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Finding the Third Proportional to 177,388 and 265,383

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Solution

The third proportional to 177,388 and 265,383 is: 397,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,388 : 265,383 = 265,383 : x
  2. Step 2: Convert to fraction form
    177,388/265,383 = 265,383/x
  3. Step 3: Cross multiply
    177,388x = 265,383 × 265,383
  4. Step 4: Simplify right side
    177,388x = 70,428,136,689
  5. Step 5: Solve for x
    x = 70,428,136,689/177,388
  6. Step 6: Final answer
    x = 397,028.75

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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.