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Finding the Third Proportional to 146,106 and 303,444

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Solution

The third proportional to 146,106 and 303,444 is: 630,215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,106 : 303,444 = 303,444 : x
  2. Step 2: Convert to fraction form
    146,106/303,444 = 303,444/x
  3. Step 3: Cross multiply
    146,106x = 303,444 × 303,444
  4. Step 4: Simplify right side
    146,106x = 92,078,261,136
  5. Step 5: Solve for x
    x = 92,078,261,136/146,106
  6. Step 6: Final answer
    x = 630,215.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.