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Finding the Third Proportional to 176,914 and 264,721

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Solution

The third proportional to 176,914 and 264,721 is: 396,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,914 : 264,721 = 264,721 : x
  2. Step 2: Convert to fraction form
    176,914/264,721 = 264,721/x
  3. Step 3: Cross multiply
    176,914x = 264,721 × 264,721
  4. Step 4: Simplify right side
    176,914x = 70,077,207,841
  5. Step 5: Solve for x
    x = 70,077,207,841/176,914
  6. Step 6: Final answer
    x = 396,108.89

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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.