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Finding the Third Proportional to 164,004 and 347,509

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Solution

The third proportional to 164,004 and 347,509 is: 736,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,004 : 347,509 = 347,509 : x
  2. Step 2: Convert to fraction form
    164,004/347,509 = 347,509/x
  3. Step 3: Cross multiply
    164,004x = 347,509 × 347,509
  4. Step 4: Simplify right side
    164,004x = 120,762,505,081
  5. Step 5: Solve for x
    x = 120,762,505,081/164,004
  6. Step 6: Final answer
    x = 736,338.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.