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Finding the Third Proportional to 214,826 and 322,090

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Solution

The third proportional to 214,826 and 322,090 is: 482,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,826 : 322,090 = 322,090 : x
  2. Step 2: Convert to fraction form
    214,826/322,090 = 322,090/x
  3. Step 3: Cross multiply
    214,826x = 322,090 × 322,090
  4. Step 4: Simplify right side
    214,826x = 103,741,968,100
  5. Step 5: Solve for x
    x = 103,741,968,100/214,826
  6. Step 6: Final answer
    x = 482,911.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.