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Finding the Third Proportional to 174,615.75 and 274,097.25

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Solution

The third proportional to 174,615.75 and 274,097.25 is: 430,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,615.75 : 274,097.25 = 274,097.25 : x
  2. Step 2: Convert to fraction form
    174,615.75/274,097.25 = 274,097.25/x
  3. Step 3: Cross multiply
    174,615.75x = 274,097.25 × 274,097.25
  4. Step 4: Simplify right side
    174,615.75x = 75,129,302,457.56
  5. Step 5: Solve for x
    x = 75,129,302,457.56/174,615.75
  6. Step 6: Final answer
    x = 430,255.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.