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Finding the Third Proportional to 150,333 and 326,316

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Solution

The third proportional to 150,333 and 326,316 is: 708,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,333 : 326,316 = 326,316 : x
  2. Step 2: Convert to fraction form
    150,333/326,316 = 326,316/x
  3. Step 3: Cross multiply
    150,333x = 326,316 × 326,316
  4. Step 4: Simplify right side
    150,333x = 106,482,131,856
  5. Step 5: Solve for x
    x = 106,482,131,856/150,333
  6. Step 6: Final answer
    x = 708,308.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.