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Finding the Third Proportional to 233,161 and 342,010

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Solution

The third proportional to 233,161 and 342,010 is: 501,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,161 : 342,010 = 342,010 : x
  2. Step 2: Convert to fraction form
    233,161/342,010 = 342,010/x
  3. Step 3: Cross multiply
    233,161x = 342,010 × 342,010
  4. Step 4: Simplify right side
    233,161x = 116,970,840,100
  5. Step 5: Solve for x
    x = 116,970,840,100/233,161
  6. Step 6: Final answer
    x = 501,674.12

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