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Finding the Third Proportional to 168,442.88 and 253,347.75

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Solution

The third proportional to 168,442.88 and 253,347.75 is: 381,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,442.88 : 253,347.75 = 253,347.75 : x
  2. Step 2: Convert to fraction form
    168,442.88/253,347.75 = 253,347.75/x
  3. Step 3: Cross multiply
    168,442.88x = 253,347.75 × 253,347.75
  4. Step 4: Simplify right side
    168,442.88x = 64,185,082,430.06
  5. Step 5: Solve for x
    x = 64,185,082,430.06/168,442.88
  6. Step 6: Final answer
    x = 381,049.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.