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Finding the Third Proportional to 176,271 and 264,797

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Solution

The third proportional to 176,271 and 264,797 is: 397,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,271 : 264,797 = 264,797 : x
  2. Step 2: Convert to fraction form
    176,271/264,797 = 264,797/x
  3. Step 3: Cross multiply
    176,271x = 264,797 × 264,797
  4. Step 4: Simplify right side
    176,271x = 70,117,451,209
  5. Step 5: Solve for x
    x = 70,117,451,209/176,271
  6. Step 6: Final answer
    x = 397,782.12

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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.