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Finding the Third Proportional to 151,880 and 333,328

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Solution

The third proportional to 151,880 and 333,328 is: 731,548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,880 : 333,328 = 333,328 : x
  2. Step 2: Convert to fraction form
    151,880/333,328 = 333,328/x
  3. Step 3: Cross multiply
    151,880x = 333,328 × 333,328
  4. Step 4: Simplify right side
    151,880x = 111,107,555,584
  5. Step 5: Solve for x
    x = 111,107,555,584/151,880
  6. Step 6: Final answer
    x = 731,548.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.