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Finding the Third Proportional to 176,331 and 264,495

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Solution

The third proportional to 176,331 and 264,495 is: 396,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,331 : 264,495 = 264,495 : x
  2. Step 2: Convert to fraction form
    176,331/264,495 = 264,495/x
  3. Step 3: Cross multiply
    176,331x = 264,495 × 264,495
  4. Step 4: Simplify right side
    176,331x = 69,957,605,025
  5. Step 5: Solve for x
    x = 69,957,605,025/176,331
  6. Step 6: Final answer
    x = 396,740.25

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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.