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Finding the Third Proportional to 150,402 and 334,424.25

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Solution

The third proportional to 150,402 and 334,424.25 is: 743,604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,402 : 334,424.25 = 334,424.25 : x
  2. Step 2: Convert to fraction form
    150,402/334,424.25 = 334,424.25/x
  3. Step 3: Cross multiply
    150,402x = 334,424.25 × 334,424.25
  4. Step 4: Simplify right side
    150,402x = 111,839,578,988.06
  5. Step 5: Solve for x
    x = 111,839,578,988.06/150,402
  6. Step 6: Final answer
    x = 743,604.33

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.