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Finding the Third Proportional to 132,181.50 and 188,430

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Solution

The third proportional to 132,181.50 and 188,430 is: 268,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,181.50 : 188,430 = 188,430 : x
  2. Step 2: Convert to fraction form
    132,181.50/188,430 = 188,430/x
  3. Step 3: Cross multiply
    132,181.50x = 188,430 × 188,430
  4. Step 4: Simplify right side
    132,181.50x = 35,505,864,900
  5. Step 5: Solve for x
    x = 35,505,864,900/132,181.50
  6. Step 6: Final answer
    x = 268,614.48

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.