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Finding the Third Proportional to 176,640 and 264,288

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Solution

The third proportional to 176,640 and 264,288 is: 395,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,640 : 264,288 = 264,288 : x
  2. Step 2: Convert to fraction form
    176,640/264,288 = 264,288/x
  3. Step 3: Cross multiply
    176,640x = 264,288 × 264,288
  4. Step 4: Simplify right side
    176,640x = 69,848,146,944
  5. Step 5: Solve for x
    x = 69,848,146,944/176,640
  6. Step 6: Final answer
    x = 395,426.56

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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.