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Finding the Third Proportional to 176,944 and 264,764

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Solution

The third proportional to 176,944 and 264,764 is: 396,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,944 : 264,764 = 264,764 : x
  2. Step 2: Convert to fraction form
    176,944/264,764 = 264,764/x
  3. Step 3: Cross multiply
    176,944x = 264,764 × 264,764
  4. Step 4: Simplify right side
    176,944x = 70,099,975,696
  5. Step 5: Solve for x
    x = 70,099,975,696/176,944
  6. Step 6: Final answer
    x = 396,170.40

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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.