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Finding the Third Proportional to 163,734 and 343,980

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Solution

The third proportional to 163,734 and 343,980 is: 722,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,734 : 343,980 = 343,980 : x
  2. Step 2: Convert to fraction form
    163,734/343,980 = 343,980/x
  3. Step 3: Cross multiply
    163,734x = 343,980 × 343,980
  4. Step 4: Simplify right side
    163,734x = 118,322,240,400
  5. Step 5: Solve for x
    x = 118,322,240,400/163,734
  6. Step 6: Final answer
    x = 722,649.18

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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.