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Finding the Third Proportional to 174,967.50 and 262,590

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Solution

The third proportional to 174,967.50 and 262,590 is: 394,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,967.50 : 262,590 = 262,590 : x
  2. Step 2: Convert to fraction form
    174,967.50/262,590 = 262,590/x
  3. Step 3: Cross multiply
    174,967.50x = 262,590 × 262,590
  4. Step 4: Simplify right side
    174,967.50x = 68,953,508,100
  5. Step 5: Solve for x
    x = 68,953,508,100/174,967.50
  6. Step 6: Final answer
    x = 394,093.24

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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.