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Finding the Third Proportional to 233,361 and 352,188

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Solution

The third proportional to 233,361 and 352,188 is: 531,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,361 : 352,188 = 352,188 : x
  2. Step 2: Convert to fraction form
    233,361/352,188 = 352,188/x
  3. Step 3: Cross multiply
    233,361x = 352,188 × 352,188
  4. Step 4: Simplify right side
    233,361x = 124,036,387,344
  5. Step 5: Solve for x
    x = 124,036,387,344/233,361
  6. Step 6: Final answer
    x = 531,521.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.