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Finding the Third Proportional to 159,236 and 343,336

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Solution

The third proportional to 159,236 and 343,336 is: 740,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,236 : 343,336 = 343,336 : x
  2. Step 2: Convert to fraction form
    159,236/343,336 = 343,336/x
  3. Step 3: Cross multiply
    159,236x = 343,336 × 343,336
  4. Step 4: Simplify right side
    159,236x = 117,879,608,896
  5. Step 5: Solve for x
    x = 117,879,608,896/159,236
  6. Step 6: Final answer
    x = 740,282.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.