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Finding the Third Proportional to 148,971 and 304,503

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Solution

The third proportional to 148,971 and 304,503 is: 622,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,971 : 304,503 = 304,503 : x
  2. Step 2: Convert to fraction form
    148,971/304,503 = 304,503/x
  3. Step 3: Cross multiply
    148,971x = 304,503 × 304,503
  4. Step 4: Simplify right side
    148,971x = 92,722,077,009
  5. Step 5: Solve for x
    x = 92,722,077,009/148,971
  6. Step 6: Final answer
    x = 622,416.96

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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.