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Finding the Third Proportional to 233,364 and 352,182

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Solution

The third proportional to 233,364 and 352,182 is: 531,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,364 : 352,182 = 352,182 : x
  2. Step 2: Convert to fraction form
    233,364/352,182 = 352,182/x
  3. Step 3: Cross multiply
    233,364x = 352,182 × 352,182
  4. Step 4: Simplify right side
    233,364x = 124,032,161,124
  5. Step 5: Solve for x
    x = 124,032,161,124/233,364
  6. Step 6: Final answer
    x = 531,496.55

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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.