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Finding the Third Proportional to 206,232.75 and 433,221.75

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Solution

The third proportional to 206,232.75 and 433,221.75 is: 910,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,232.75 : 433,221.75 = 433,221.75 : x
  2. Step 2: Convert to fraction form
    206,232.75/433,221.75 = 433,221.75/x
  3. Step 3: Cross multiply
    206,232.75x = 433,221.75 × 433,221.75
  4. Step 4: Simplify right side
    206,232.75x = 187,681,084,673.06
  5. Step 5: Solve for x
    x = 187,681,084,673.06/206,232.75
  6. Step 6: Final answer
    x = 910,045.01

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.