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Finding the Third Proportional to 148,969 and 304,499

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Solution

The third proportional to 148,969 and 304,499 is: 622,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,969 : 304,499 = 304,499 : x
  2. Step 2: Convert to fraction form
    148,969/304,499 = 304,499/x
  3. Step 3: Cross multiply
    148,969x = 304,499 × 304,499
  4. Step 4: Simplify right side
    148,969x = 92,719,641,001
  5. Step 5: Solve for x
    x = 92,719,641,001/148,969
  6. Step 6: Final answer
    x = 622,408.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.