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Finding the Third Proportional to 177,312.75 and 265,343.25

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Solution

The third proportional to 177,312.75 and 265,343.25 is: 397,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,312.75 : 265,343.25 = 265,343.25 : x
  2. Step 2: Convert to fraction form
    177,312.75/265,343.25 = 265,343.25/x
  3. Step 3: Cross multiply
    177,312.75x = 265,343.25 × 265,343.25
  4. Step 4: Simplify right side
    177,312.75x = 70,407,040,320.56
  5. Step 5: Solve for x
    x = 70,407,040,320.56/177,312.75
  6. Step 6: Final answer
    x = 397,078.27

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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.