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Finding the Third Proportional to 176,666 and 264,327

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Solution

The third proportional to 176,666 and 264,327 is: 395,485.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,666 : 264,327 = 264,327 : x
  2. Step 2: Convert to fraction form
    176,666/264,327 = 264,327/x
  3. Step 3: Cross multiply
    176,666x = 264,327 × 264,327
  4. Step 4: Simplify right side
    176,666x = 69,868,762,929
  5. Step 5: Solve for x
    x = 69,868,762,929/176,666
  6. Step 6: Final answer
    x = 395,485.06

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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.