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Finding the Third Proportional to 168,039 and 369,207

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Solution

The third proportional to 168,039 and 369,207 is: 811,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,039 : 369,207 = 369,207 : x
  2. Step 2: Convert to fraction form
    168,039/369,207 = 369,207/x
  3. Step 3: Cross multiply
    168,039x = 369,207 × 369,207
  4. Step 4: Simplify right side
    168,039x = 136,313,808,849
  5. Step 5: Solve for x
    x = 136,313,808,849/168,039
  6. Step 6: Final answer
    x = 811,203.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.