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Finding the Third Proportional to 168,336 and 360,317

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Solution

The third proportional to 168,336 and 360,317 is: 771,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,336 : 360,317 = 360,317 : x
  2. Step 2: Convert to fraction form
    168,336/360,317 = 360,317/x
  3. Step 3: Cross multiply
    168,336x = 360,317 × 360,317
  4. Step 4: Simplify right side
    168,336x = 129,828,340,489
  5. Step 5: Solve for x
    x = 129,828,340,489/168,336
  6. Step 6: Final answer
    x = 771,245.25

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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.