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Finding the Third Proportional to 172,023.75 and 265,704.75

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Solution

The third proportional to 172,023.75 and 265,704.75 is: 410,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,023.75 : 265,704.75 = 265,704.75 : x
  2. Step 2: Convert to fraction form
    172,023.75/265,704.75 = 265,704.75/x
  3. Step 3: Cross multiply
    172,023.75x = 265,704.75 × 265,704.75
  4. Step 4: Simplify right side
    172,023.75x = 70,599,014,172.56
  5. Step 5: Solve for x
    x = 70,599,014,172.56/172,023.75
  6. Step 6: Final answer
    x = 410,402.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.