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Finding the Third Proportional to 233,308 and 345,042

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Solution

The third proportional to 233,308 and 345,042 is: 510,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,308 : 345,042 = 345,042 : x
  2. Step 2: Convert to fraction form
    233,308/345,042 = 345,042/x
  3. Step 3: Cross multiply
    233,308x = 345,042 × 345,042
  4. Step 4: Simplify right side
    233,308x = 119,053,981,764
  5. Step 5: Solve for x
    x = 119,053,981,764/233,308
  6. Step 6: Final answer
    x = 510,286.75

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.