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Finding the Third Proportional to 175,609.27 and 194,062.08

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Solution

The third proportional to 175,609.27 and 194,062.08 is: 214,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,609.27 : 194,062.08 = 194,062.08 : x
  2. Step 2: Convert to fraction form
    175,609.27/194,062.08 = 194,062.08/x
  3. Step 3: Cross multiply
    175,609.27x = 194,062.08 × 194,062.08
  4. Step 4: Simplify right side
    175,609.27x = 37,660,090,166.19
  5. Step 5: Solve for x
    x = 37,660,090,166.19/175,609.27
  6. Step 6: Final answer
    x = 214,453.89

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.