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Finding the Third Proportional to 213,362 and 321,703

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Solution

The third proportional to 213,362 and 321,703 is: 485,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,362 : 321,703 = 321,703 : x
  2. Step 2: Convert to fraction form
    213,362/321,703 = 321,703/x
  3. Step 3: Cross multiply
    213,362x = 321,703 × 321,703
  4. Step 4: Simplify right side
    213,362x = 103,492,820,209
  5. Step 5: Solve for x
    x = 103,492,820,209/213,362
  6. Step 6: Final answer
    x = 485,057.42

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