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Finding the Third Proportional to 223,968 and 322,704

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Solution

The third proportional to 223,968 and 322,704 is: 464,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,968 : 322,704 = 322,704 : x
  2. Step 2: Convert to fraction form
    223,968/322,704 = 322,704/x
  3. Step 3: Cross multiply
    223,968x = 322,704 × 322,704
  4. Step 4: Simplify right side
    223,968x = 104,137,871,616
  5. Step 5: Solve for x
    x = 104,137,871,616/223,968
  6. Step 6: Final answer
    x = 464,967.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.