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Finding the Third Proportional to 233,183 and 342,120

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Solution

The third proportional to 233,183 and 342,120 is: 501,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,183 : 342,120 = 342,120 : x
  2. Step 2: Convert to fraction form
    233,183/342,120 = 342,120/x
  3. Step 3: Cross multiply
    233,183x = 342,120 × 342,120
  4. Step 4: Simplify right side
    233,183x = 117,046,094,400
  5. Step 5: Solve for x
    x = 117,046,094,400/233,183
  6. Step 6: Final answer
    x = 501,949.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.