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Finding the Third Proportional to 130,822 and 285,007

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Solution

The third proportional to 130,822 and 285,007 is: 620,912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,822 : 285,007 = 285,007 : x
  2. Step 2: Convert to fraction form
    130,822/285,007 = 285,007/x
  3. Step 3: Cross multiply
    130,822x = 285,007 × 285,007
  4. Step 4: Simplify right side
    130,822x = 81,228,990,049
  5. Step 5: Solve for x
    x = 81,228,990,049/130,822
  6. Step 6: Final answer
    x = 620,912.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.