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Finding the Third Proportional to 177,360.75 and 254,969.25

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Solution

The third proportional to 177,360.75 and 254,969.25 is: 366,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,360.75 : 254,969.25 = 254,969.25 : x
  2. Step 2: Convert to fraction form
    177,360.75/254,969.25 = 254,969.25/x
  3. Step 3: Cross multiply
    177,360.75x = 254,969.25 × 254,969.25
  4. Step 4: Simplify right side
    177,360.75x = 65,009,318,445.56
  5. Step 5: Solve for x
    x = 65,009,318,445.56/177,360.75
  6. Step 6: Final answer
    x = 366,537.23

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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.