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Finding the Third Proportional to 159,856 and 350,168

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Solution

The third proportional to 159,856 and 350,168 is: 767,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,856 : 350,168 = 350,168 : x
  2. Step 2: Convert to fraction form
    159,856/350,168 = 350,168/x
  3. Step 3: Cross multiply
    159,856x = 350,168 × 350,168
  4. Step 4: Simplify right side
    159,856x = 122,617,628,224
  5. Step 5: Solve for x
    x = 122,617,628,224/159,856
  6. Step 6: Final answer
    x = 767,050.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.