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Finding the Third Proportional to 150,641 and 334,330

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Solution

The third proportional to 150,641 and 334,330 is: 742,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,641 : 334,330 = 334,330 : x
  2. Step 2: Convert to fraction form
    150,641/334,330 = 334,330/x
  3. Step 3: Cross multiply
    150,641x = 334,330 × 334,330
  4. Step 4: Simplify right side
    150,641x = 111,776,548,900
  5. Step 5: Solve for x
    x = 111,776,548,900/150,641
  6. Step 6: Final answer
    x = 742,006.15

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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.