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Finding the Third Proportional to 151,874 and 333,000

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Solution

The third proportional to 151,874 and 333,000 is: 730,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,874 : 333,000 = 333,000 : x
  2. Step 2: Convert to fraction form
    151,874/333,000 = 333,000/x
  3. Step 3: Cross multiply
    151,874x = 333,000 × 333,000
  4. Step 4: Simplify right side
    151,874x = 110,889,000,000
  5. Step 5: Solve for x
    x = 110,889,000,000/151,874
  6. Step 6: Final answer
    x = 730,138.14

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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.