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Finding the Third Proportional to 168,509 and 360,022

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Solution

The third proportional to 168,509 and 360,022 is: 769,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,509 : 360,022 = 360,022 : x
  2. Step 2: Convert to fraction form
    168,509/360,022 = 360,022/x
  3. Step 3: Cross multiply
    168,509x = 360,022 × 360,022
  4. Step 4: Simplify right side
    168,509x = 129,615,840,484
  5. Step 5: Solve for x
    x = 129,615,840,484/168,509
  6. Step 6: Final answer
    x = 769,192.39

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Why These Related Problems?

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