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Finding the Third Proportional to 157,867 and 241,499.50

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Solution

The third proportional to 157,867 and 241,499.50 is: 369,437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,867 : 241,499.50 = 241,499.50 : x
  2. Step 2: Convert to fraction form
    157,867/241,499.50 = 241,499.50/x
  3. Step 3: Cross multiply
    157,867x = 241,499.50 × 241,499.50
  4. Step 4: Simplify right side
    157,867x = 58,322,008,500.25
  5. Step 5: Solve for x
    x = 58,322,008,500.25/157,867
  6. Step 6: Final answer
    x = 369,437.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.