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Finding the Third Proportional to 172,711.50 and 254,129.25

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Solution

The third proportional to 172,711.50 and 254,129.25 is: 373,928.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,711.50 : 254,129.25 = 254,129.25 : x
  2. Step 2: Convert to fraction form
    172,711.50/254,129.25 = 254,129.25/x
  3. Step 3: Cross multiply
    172,711.50x = 254,129.25 × 254,129.25
  4. Step 4: Simplify right side
    172,711.50x = 64,581,675,705.56
  5. Step 5: Solve for x
    x = 64,581,675,705.56/172,711.50
  6. Step 6: Final answer
    x = 373,928.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.