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Finding the Third Proportional to 176,327 and 264,883

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Solution

The third proportional to 176,327 and 264,883 is: 397,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,327 : 264,883 = 264,883 : x
  2. Step 2: Convert to fraction form
    176,327/264,883 = 264,883/x
  3. Step 3: Cross multiply
    176,327x = 264,883 × 264,883
  4. Step 4: Simplify right side
    176,327x = 70,163,003,689
  5. Step 5: Solve for x
    x = 70,163,003,689/176,327
  6. Step 6: Final answer
    x = 397,914.12

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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.