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Finding the Third Proportional to 176,254.26 and 264,772.23

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Solution

The third proportional to 176,254.26 and 264,772.23 is: 397,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,254.26 : 264,772.23 = 264,772.23 : x
  2. Step 2: Convert to fraction form
    176,254.26/264,772.23 = 264,772.23/x
  3. Step 3: Cross multiply
    176,254.26x = 264,772.23 × 264,772.23
  4. Step 4: Simplify right side
    176,254.26x = 70,104,334,027.40
  5. Step 5: Solve for x
    x = 70,104,334,027.40/176,254.26
  6. Step 6: Final answer
    x = 397,745.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.