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Finding the Third Proportional to 150,064 and 320,214

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Solution

The third proportional to 150,064 and 320,214 is: 683,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,064 : 320,214 = 320,214 : x
  2. Step 2: Convert to fraction form
    150,064/320,214 = 320,214/x
  3. Step 3: Cross multiply
    150,064x = 320,214 × 320,214
  4. Step 4: Simplify right side
    150,064x = 102,537,005,796
  5. Step 5: Solve for x
    x = 102,537,005,796/150,064
  6. Step 6: Final answer
    x = 683,288.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.