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Finding the Third Proportional to 231,975 and 359,187

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Solution

The third proportional to 231,975 and 359,187 is: 556,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,975 : 359,187 = 359,187 : x
  2. Step 2: Convert to fraction form
    231,975/359,187 = 359,187/x
  3. Step 3: Cross multiply
    231,975x = 359,187 × 359,187
  4. Step 4: Simplify right side
    231,975x = 129,015,300,969
  5. Step 5: Solve for x
    x = 129,015,300,969/231,975
  6. Step 6: Final answer
    x = 556,160.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.