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Finding the Third Proportional to 213,273 and 320,456.25

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Solution

The third proportional to 213,273 and 320,456.25 is: 481,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,273 : 320,456.25 = 320,456.25 : x
  2. Step 2: Convert to fraction form
    213,273/320,456.25 = 320,456.25/x
  3. Step 3: Cross multiply
    213,273x = 320,456.25 × 320,456.25
  4. Step 4: Simplify right side
    213,273x = 102,692,208,164.06
  5. Step 5: Solve for x
    x = 102,692,208,164.06/213,273
  6. Step 6: Final answer
    x = 481,505.90

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