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Finding the Third Proportional to 177,455 and 255,079

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Solution

The third proportional to 177,455 and 255,079 is: 366,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,455 : 255,079 = 255,079 : x
  2. Step 2: Convert to fraction form
    177,455/255,079 = 255,079/x
  3. Step 3: Cross multiply
    177,455x = 255,079 × 255,079
  4. Step 4: Simplify right side
    177,455x = 65,065,296,241
  5. Step 5: Solve for x
    x = 65,065,296,241/177,455
  6. Step 6: Final answer
    x = 366,658.00

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.