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Finding the Third Proportional to 131,388 and 281,022

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Solution

The third proportional to 131,388 and 281,022 is: 601,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,388 : 281,022 = 281,022 : x
  2. Step 2: Convert to fraction form
    131,388/281,022 = 281,022/x
  3. Step 3: Cross multiply
    131,388x = 281,022 × 281,022
  4. Step 4: Simplify right side
    131,388x = 78,973,364,484
  5. Step 5: Solve for x
    x = 78,973,364,484/131,388
  6. Step 6: Final answer
    x = 601,069.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.