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Finding the Third Proportional to 201,919.50 and 316,770.75

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Solution

The third proportional to 201,919.50 and 316,770.75 is: 496,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,919.50 : 316,770.75 = 316,770.75 : x
  2. Step 2: Convert to fraction form
    201,919.50/316,770.75 = 316,770.75/x
  3. Step 3: Cross multiply
    201,919.50x = 316,770.75 × 316,770.75
  4. Step 4: Simplify right side
    201,919.50x = 100,343,708,055.56
  5. Step 5: Solve for x
    x = 100,343,708,055.56/201,919.50
  6. Step 6: Final answer
    x = 496,949.07

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.