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Finding the Third Proportional to 233,992 and 342,213

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Solution

The third proportional to 233,992 and 342,213 is: 500,486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,992 : 342,213 = 342,213 : x
  2. Step 2: Convert to fraction form
    233,992/342,213 = 342,213/x
  3. Step 3: Cross multiply
    233,992x = 342,213 × 342,213
  4. Step 4: Simplify right side
    233,992x = 117,109,737,369
  5. Step 5: Solve for x
    x = 117,109,737,369/233,992
  6. Step 6: Final answer
    x = 500,486.07

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.