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Finding the Third Proportional to 174,190.50 and 254,564.44

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Solution

The third proportional to 174,190.50 and 254,564.44 is: 372,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,190.50 : 254,564.44 = 254,564.44 : x
  2. Step 2: Convert to fraction form
    174,190.50/254,564.44 = 254,564.44/x
  3. Step 3: Cross multiply
    174,190.50x = 254,564.44 × 254,564.44
  4. Step 4: Simplify right side
    174,190.50x = 64,803,052,839.69
  5. Step 5: Solve for x
    x = 64,803,052,839.69/174,190.50
  6. Step 6: Final answer
    x = 372,024.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.