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Finding the Third Proportional to 208,168 and 451,332

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Solution

The third proportional to 208,168 and 451,332 is: 978,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,168 : 451,332 = 451,332 : x
  2. Step 2: Convert to fraction form
    208,168/451,332 = 451,332/x
  3. Step 3: Cross multiply
    208,168x = 451,332 × 451,332
  4. Step 4: Simplify right side
    208,168x = 203,700,574,224
  5. Step 5: Solve for x
    x = 203,700,574,224/208,168
  6. Step 6: Final answer
    x = 978,539.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.