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Finding the Third Proportional to 177,005.25 and 265,538.25

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Solution

The third proportional to 177,005.25 and 265,538.25 is: 398,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,005.25 : 265,538.25 = 265,538.25 : x
  2. Step 2: Convert to fraction form
    177,005.25/265,538.25 = 265,538.25/x
  3. Step 3: Cross multiply
    177,005.25x = 265,538.25 × 265,538.25
  4. Step 4: Simplify right side
    177,005.25x = 70,510,562,213.06
  5. Step 5: Solve for x
    x = 70,510,562,213.06/177,005.25
  6. Step 6: Final answer
    x = 398,352.94

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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.