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Finding the Third Proportional to 177,048 and 274,140

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Solution

The third proportional to 177,048 and 274,140 is: 424,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,048 : 274,140 = 274,140 : x
  2. Step 2: Convert to fraction form
    177,048/274,140 = 274,140/x
  3. Step 3: Cross multiply
    177,048x = 274,140 × 274,140
  4. Step 4: Simplify right side
    177,048x = 75,152,739,600
  5. Step 5: Solve for x
    x = 75,152,739,600/177,048
  6. Step 6: Final answer
    x = 424,476.64

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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.