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Finding the Third Proportional to 233,344 and 352,152

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Solution

The third proportional to 233,344 and 352,152 is: 531,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,344 : 352,152 = 352,152 : x
  2. Step 2: Convert to fraction form
    233,344/352,152 = 352,152/x
  3. Step 3: Cross multiply
    233,344x = 352,152 × 352,152
  4. Step 4: Simplify right side
    233,344x = 124,011,031,104
  5. Step 5: Solve for x
    x = 124,011,031,104/233,344
  6. Step 6: Final answer
    x = 531,451.55

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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.