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Finding the Third Proportional to 163,246 and 343,016

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Solution

The third proportional to 163,246 and 343,016 is: 720,752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,246 : 343,016 = 343,016 : x
  2. Step 2: Convert to fraction form
    163,246/343,016 = 343,016/x
  3. Step 3: Cross multiply
    163,246x = 343,016 × 343,016
  4. Step 4: Simplify right side
    163,246x = 117,659,976,256
  5. Step 5: Solve for x
    x = 117,659,976,256/163,246
  6. Step 6: Final answer
    x = 720,752.58

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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.