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Finding the Third Proportional to 148,731 and 304,710

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Solution

The third proportional to 148,731 and 304,710 is: 624,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,731 : 304,710 = 304,710 : x
  2. Step 2: Convert to fraction form
    148,731/304,710 = 304,710/x
  3. Step 3: Cross multiply
    148,731x = 304,710 × 304,710
  4. Step 4: Simplify right side
    148,731x = 92,848,184,100
  5. Step 5: Solve for x
    x = 92,848,184,100/148,731
  6. Step 6: Final answer
    x = 624,269.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.