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Finding the Third Proportional to 150,384.36 and 334,392.05

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Solution

The third proportional to 150,384.36 and 334,392.05 is: 743,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,384.36 : 334,392.05 = 334,392.05 : x
  2. Step 2: Convert to fraction form
    150,384.36/334,392.05 = 334,392.05/x
  3. Step 3: Cross multiply
    150,384.36x = 334,392.05 × 334,392.05
  4. Step 4: Simplify right side
    150,384.36x = 111,818,041,013.25
  5. Step 5: Solve for x
    x = 111,818,041,013.25/150,384.36
  6. Step 6: Final answer
    x = 743,548.35

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Why These Related Problems?

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