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Finding the Third Proportional to 188,030 and 282,086

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Solution

The third proportional to 188,030 and 282,086 is: 423,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,030 : 282,086 = 282,086 : x
  2. Step 2: Convert to fraction form
    188,030/282,086 = 282,086/x
  3. Step 3: Cross multiply
    188,030x = 282,086 × 282,086
  4. Step 4: Simplify right side
    188,030x = 79,572,511,396
  5. Step 5: Solve for x
    x = 79,572,511,396/188,030
  6. Step 6: Final answer
    x = 423,190.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.