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Finding the Third Proportional to 213,300 and 321,300

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Solution

The third proportional to 213,300 and 321,300 is: 483,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,300 : 321,300 = 321,300 : x
  2. Step 2: Convert to fraction form
    213,300/321,300 = 321,300/x
  3. Step 3: Cross multiply
    213,300x = 321,300 × 321,300
  4. Step 4: Simplify right side
    213,300x = 103,233,690,000
  5. Step 5: Solve for x
    x = 103,233,690,000/213,300
  6. Step 6: Final answer
    x = 483,983.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.