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Finding the Third Proportional to 176,069 and 264,920

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Solution

The third proportional to 176,069 and 264,920 is: 398,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,069 : 264,920 = 264,920 : x
  2. Step 2: Convert to fraction form
    176,069/264,920 = 264,920/x
  3. Step 3: Cross multiply
    176,069x = 264,920 × 264,920
  4. Step 4: Simplify right side
    176,069x = 70,182,606,400
  5. Step 5: Solve for x
    x = 70,182,606,400/176,069
  6. Step 6: Final answer
    x = 398,608.54

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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.