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Finding the Third Proportional to 151,810 and 333,144

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Solution

The third proportional to 151,810 and 333,144 is: 731,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,810 : 333,144 = 333,144 : x
  2. Step 2: Convert to fraction form
    151,810/333,144 = 333,144/x
  3. Step 3: Cross multiply
    151,810x = 333,144 × 333,144
  4. Step 4: Simplify right side
    151,810x = 110,984,924,736
  5. Step 5: Solve for x
    x = 110,984,924,736/151,810
  6. Step 6: Final answer
    x = 731,077.83

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