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Finding the Third Proportional to 172,170 and 230,917.50

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Solution

The third proportional to 172,170 and 230,917.50 is: 309,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,170 : 230,917.50 = 230,917.50 : x
  2. Step 2: Convert to fraction form
    172,170/230,917.50 = 230,917.50/x
  3. Step 3: Cross multiply
    172,170x = 230,917.50 × 230,917.50
  4. Step 4: Simplify right side
    172,170x = 53,322,891,806.25
  5. Step 5: Solve for x
    x = 53,322,891,806.25/172,170
  6. Step 6: Final answer
    x = 309,710.70

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.