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Finding the Third Proportional to 174,967 and 262,588

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Solution

The third proportional to 174,967 and 262,588 is: 394,088.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,967 : 262,588 = 262,588 : x
  2. Step 2: Convert to fraction form
    174,967/262,588 = 262,588/x
  3. Step 3: Cross multiply
    174,967x = 262,588 × 262,588
  4. Step 4: Simplify right side
    174,967x = 68,952,457,744
  5. Step 5: Solve for x
    x = 68,952,457,744/174,967
  6. Step 6: Final answer
    x = 394,088.36

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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.