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Finding the Third Proportional to 175,008 and 262,456

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Solution

The third proportional to 175,008 and 262,456 is: 393,600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,008 : 262,456 = 262,456 : x
  2. Step 2: Convert to fraction form
    175,008/262,456 = 262,456/x
  3. Step 3: Cross multiply
    175,008x = 262,456 × 262,456
  4. Step 4: Simplify right side
    175,008x = 68,883,151,936
  5. Step 5: Solve for x
    x = 68,883,151,936/175,008
  6. Step 6: Final answer
    x = 393,600.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.