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Finding the Third Proportional to 177,385.50 and 255,003.75

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Solution

The third proportional to 177,385.50 and 255,003.75 is: 366,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,385.50 : 255,003.75 = 255,003.75 : x
  2. Step 2: Convert to fraction form
    177,385.50/255,003.75 = 255,003.75/x
  3. Step 3: Cross multiply
    177,385.50x = 255,003.75 × 255,003.75
  4. Step 4: Simplify right side
    177,385.50x = 65,026,912,514.06
  5. Step 5: Solve for x
    x = 65,026,912,514.06/177,385.50
  6. Step 6: Final answer
    x = 366,585.28

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