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Finding the Third Proportional to 201,057.75 and 433,003.50

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Solution

The third proportional to 201,057.75 and 433,003.50 is: 932,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,057.75 : 433,003.50 = 433,003.50 : x
  2. Step 2: Convert to fraction form
    201,057.75/433,003.50 = 433,003.50/x
  3. Step 3: Cross multiply
    201,057.75x = 433,003.50 × 433,003.50
  4. Step 4: Simplify right side
    201,057.75x = 187,492,031,012.25
  5. Step 5: Solve for x
    x = 187,492,031,012.25/201,057.75
  6. Step 6: Final answer
    x = 932,528.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.