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Finding the Third Proportional to 177,364.69 and 275,374.69

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Solution

The third proportional to 177,364.69 and 275,374.69 is: 427,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,364.69 : 275,374.69 = 275,374.69 : x
  2. Step 2: Convert to fraction form
    177,364.69/275,374.69 = 275,374.69/x
  3. Step 3: Cross multiply
    177,364.69x = 275,374.69 × 275,374.69
  4. Step 4: Simplify right side
    177,364.69x = 75,831,218,515.72
  5. Step 5: Solve for x
    x = 75,831,218,515.72/177,364.69
  6. Step 6: Final answer
    x = 427,544.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.