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Finding the Third Proportional to 177,308 and 265,962

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Solution

The third proportional to 177,308 and 265,962 is: 398,943

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,308 : 265,962 = 265,962 : x
  2. Step 2: Convert to fraction form
    177,308/265,962 = 265,962/x
  3. Step 3: Cross multiply
    177,308x = 265,962 × 265,962
  4. Step 4: Simplify right side
    177,308x = 70,735,785,444
  5. Step 5: Solve for x
    x = 70,735,785,444/177,308
  6. Step 6: Final answer
    x = 398,943

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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.