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Finding the Third Proportional to 203,004 and 288,522

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Solution

The third proportional to 203,004 and 288,522 is: 410,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,004 : 288,522 = 288,522 : x
  2. Step 2: Convert to fraction form
    203,004/288,522 = 288,522/x
  3. Step 3: Cross multiply
    203,004x = 288,522 × 288,522
  4. Step 4: Simplify right side
    203,004x = 83,244,944,484
  5. Step 5: Solve for x
    x = 83,244,944,484/203,004
  6. Step 6: Final answer
    x = 410,065.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.