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Finding the Third Proportional to 168,426 and 368,502

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Solution

The third proportional to 168,426 and 368,502 is: 806,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,426 : 368,502 = 368,502 : x
  2. Step 2: Convert to fraction form
    168,426/368,502 = 368,502/x
  3. Step 3: Cross multiply
    168,426x = 368,502 × 368,502
  4. Step 4: Simplify right side
    168,426x = 135,793,724,004
  5. Step 5: Solve for x
    x = 135,793,724,004/168,426
  6. Step 6: Final answer
    x = 806,251.55

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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.