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Finding the Third Proportional to 146,094 and 303,420

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Solution

The third proportional to 146,094 and 303,420 is: 630,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,094 : 303,420 = 303,420 : x
  2. Step 2: Convert to fraction form
    146,094/303,420 = 303,420/x
  3. Step 3: Cross multiply
    146,094x = 303,420 × 303,420
  4. Step 4: Simplify right side
    146,094x = 92,063,696,400
  5. Step 5: Solve for x
    x = 92,063,696,400/146,094
  6. Step 6: Final answer
    x = 630,167.54

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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.