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Finding the Third Proportional to 215,030 and 300,754

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Solution

The third proportional to 215,030 and 300,754 is: 420,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,030 : 300,754 = 300,754 : x
  2. Step 2: Convert to fraction form
    215,030/300,754 = 300,754/x
  3. Step 3: Cross multiply
    215,030x = 300,754 × 300,754
  4. Step 4: Simplify right side
    215,030x = 90,452,968,516
  5. Step 5: Solve for x
    x = 90,452,968,516/215,030
  6. Step 6: Final answer
    x = 420,652.79

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.