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Finding the Third Proportional to 176,048 and 264,914

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Solution

The third proportional to 176,048 and 264,914 is: 398,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,048 : 264,914 = 264,914 : x
  2. Step 2: Convert to fraction form
    176,048/264,914 = 264,914/x
  3. Step 3: Cross multiply
    176,048x = 264,914 × 264,914
  4. Step 4: Simplify right side
    176,048x = 70,179,427,396
  5. Step 5: Solve for x
    x = 70,179,427,396/176,048
  6. Step 6: Final answer
    x = 398,638.03

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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.