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Finding the Third Proportional to 150,687 and 334,416

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Solution

The third proportional to 150,687 and 334,416 is: 742,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,687 : 334,416 = 334,416 : x
  2. Step 2: Convert to fraction form
    150,687/334,416 = 334,416/x
  3. Step 3: Cross multiply
    150,687x = 334,416 × 334,416
  4. Step 4: Simplify right side
    150,687x = 111,834,061,056
  5. Step 5: Solve for x
    x = 111,834,061,056/150,687
  6. Step 6: Final answer
    x = 742,161.31

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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.