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Finding the Third Proportional to 268,796 and 565,168

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Solution

The third proportional to 268,796 and 565,168 is: 1,188,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,796 : 565,168 = 565,168 : x
  2. Step 2: Convert to fraction form
    268,796/565,168 = 565,168/x
  3. Step 3: Cross multiply
    268,796x = 565,168 × 565,168
  4. Step 4: Simplify right side
    268,796x = 319,414,868,224
  5. Step 5: Solve for x
    x = 319,414,868,224/268,796
  6. Step 6: Final answer
    x = 1,188,317.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.