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Finding the Third Proportional to 163,004 and 340,912

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Solution

The third proportional to 163,004 and 340,912 is: 712,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,004 : 340,912 = 340,912 : x
  2. Step 2: Convert to fraction form
    163,004/340,912 = 340,912/x
  3. Step 3: Cross multiply
    163,004x = 340,912 × 340,912
  4. Step 4: Simplify right side
    163,004x = 116,220,991,744
  5. Step 5: Solve for x
    x = 116,220,991,744/163,004
  6. Step 6: Final answer
    x = 712,994.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.