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Finding the Third Proportional to 176,292.38 and 264,830.25

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Solution

The third proportional to 176,292.38 and 264,830.25 is: 397,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,292.38 : 264,830.25 = 264,830.25 : x
  2. Step 2: Convert to fraction form
    176,292.38/264,830.25 = 264,830.25/x
  3. Step 3: Cross multiply
    176,292.38x = 264,830.25 × 264,830.25
  4. Step 4: Simplify right side
    176,292.38x = 70,135,061,315.06
  5. Step 5: Solve for x
    x = 70,135,061,315.06/176,292.38
  6. Step 6: Final answer
    x = 397,833.78

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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.