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Finding the Third Proportional to 150,538.50 and 206,421.75

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Solution

The third proportional to 150,538.50 and 206,421.75 is: 283,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,538.50 : 206,421.75 = 206,421.75 : x
  2. Step 2: Convert to fraction form
    150,538.50/206,421.75 = 206,421.75/x
  3. Step 3: Cross multiply
    150,538.50x = 206,421.75 × 206,421.75
  4. Step 4: Simplify right side
    150,538.50x = 42,609,938,873.06
  5. Step 5: Solve for x
    x = 42,609,938,873.06/150,538.50
  6. Step 6: Final answer
    x = 283,050.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.