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Finding the Third Proportional to 203,526 and 297,999

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Solution

The third proportional to 203,526 and 297,999 is: 436,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,526 : 297,999 = 297,999 : x
  2. Step 2: Convert to fraction form
    203,526/297,999 = 297,999/x
  3. Step 3: Cross multiply
    203,526x = 297,999 × 297,999
  4. Step 4: Simplify right side
    203,526x = 88,803,404,001
  5. Step 5: Solve for x
    x = 88,803,404,001/203,526
  6. Step 6: Final answer
    x = 436,324.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.