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Finding the Third Proportional to 151,968 and 333,168

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Solution

The third proportional to 151,968 and 333,168 is: 730,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,968 : 333,168 = 333,168 : x
  2. Step 2: Convert to fraction form
    151,968/333,168 = 333,168/x
  3. Step 3: Cross multiply
    151,968x = 333,168 × 333,168
  4. Step 4: Simplify right side
    151,968x = 111,000,916,224
  5. Step 5: Solve for x
    x = 111,000,916,224/151,968
  6. Step 6: Final answer
    x = 730,422.96

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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.