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Finding the Third Proportional to 133,506.56 and 206,652.09

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Solution

The third proportional to 133,506.56 and 206,652.09 is: 319,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,506.56 : 206,652.09 = 206,652.09 : x
  2. Step 2: Convert to fraction form
    133,506.56/206,652.09 = 206,652.09/x
  3. Step 3: Cross multiply
    133,506.56x = 206,652.09 × 206,652.09
  4. Step 4: Simplify right side
    133,506.56x = 42,705,087,851.26
  5. Step 5: Solve for x
    x = 42,705,087,851.26/133,506.56
  6. Step 6: Final answer
    x = 319,872.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.