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Finding the Third Proportional to 168,313 and 368,298

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Solution

The third proportional to 168,313 and 368,298 is: 805,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,313 : 368,298 = 368,298 : x
  2. Step 2: Convert to fraction form
    168,313/368,298 = 368,298/x
  3. Step 3: Cross multiply
    168,313x = 368,298 × 368,298
  4. Step 4: Simplify right side
    168,313x = 135,643,416,804
  5. Step 5: Solve for x
    x = 135,643,416,804/168,313
  6. Step 6: Final answer
    x = 805,899.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.