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Finding the Third Proportional to 156,388 and 222,822

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Solution

The third proportional to 156,388 and 222,822 is: 317,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,388 : 222,822 = 222,822 : x
  2. Step 2: Convert to fraction form
    156,388/222,822 = 222,822/x
  3. Step 3: Cross multiply
    156,388x = 222,822 × 222,822
  4. Step 4: Simplify right side
    156,388x = 49,649,643,684
  5. Step 5: Solve for x
    x = 49,649,643,684/156,388
  6. Step 6: Final answer
    x = 317,477.32

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.