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Finding the Third Proportional to 130,522 and 285,012

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Solution

The third proportional to 130,522 and 285,012 is: 622,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,522 : 285,012 = 285,012 : x
  2. Step 2: Convert to fraction form
    130,522/285,012 = 285,012/x
  3. Step 3: Cross multiply
    130,522x = 285,012 × 285,012
  4. Step 4: Simplify right side
    130,522x = 81,231,840,144
  5. Step 5: Solve for x
    x = 81,231,840,144/130,522
  6. Step 6: Final answer
    x = 622,361.29

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Why These Related Problems?

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