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Finding the Third Proportional to 178,314.75 and 264,525.75

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Solution

The third proportional to 178,314.75 and 264,525.75 is: 392,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,314.75 : 264,525.75 = 264,525.75 : x
  2. Step 2: Convert to fraction form
    178,314.75/264,525.75 = 264,525.75/x
  3. Step 3: Cross multiply
    178,314.75x = 264,525.75 × 264,525.75
  4. Step 4: Simplify right side
    178,314.75x = 69,973,872,413.06
  5. Step 5: Solve for x
    x = 69,973,872,413.06/178,314.75
  6. Step 6: Final answer
    x = 392,417.75

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.