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Finding the Third Proportional to 175,986 and 252,193.50

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Solution

The third proportional to 175,986 and 252,193.50 is: 361,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,986 : 252,193.50 = 252,193.50 : x
  2. Step 2: Convert to fraction form
    175,986/252,193.50 = 252,193.50/x
  3. Step 3: Cross multiply
    175,986x = 252,193.50 × 252,193.50
  4. Step 4: Simplify right side
    175,986x = 63,601,561,442.25
  5. Step 5: Solve for x
    x = 63,601,561,442.25/175,986
  6. Step 6: Final answer
    x = 361,401.26

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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.