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Finding the Third Proportional to 176,150 and 264,261

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Solution

The third proportional to 176,150 and 264,261 is: 396,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,150 : 264,261 = 264,261 : x
  2. Step 2: Convert to fraction form
    176,150/264,261 = 264,261/x
  3. Step 3: Cross multiply
    176,150x = 264,261 × 264,261
  4. Step 4: Simplify right side
    176,150x = 69,833,876,121
  5. Step 5: Solve for x
    x = 69,833,876,121/176,150
  6. Step 6: Final answer
    x = 396,445.51

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Why These Related Problems?

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