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Finding the Third Proportional to 159,525 and 348,027

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Solution

The third proportional to 159,525 and 348,027 is: 759,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,525 : 348,027 = 348,027 : x
  2. Step 2: Convert to fraction form
    159,525/348,027 = 348,027/x
  3. Step 3: Cross multiply
    159,525x = 348,027 × 348,027
  4. Step 4: Simplify right side
    159,525x = 121,122,792,729
  5. Step 5: Solve for x
    x = 121,122,792,729/159,525
  6. Step 6: Final answer
    x = 759,271.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.