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Finding the Third Proportional to 146,946 and 320,532

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Solution

The third proportional to 146,946 and 320,532 is: 699,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,946 : 320,532 = 320,532 : x
  2. Step 2: Convert to fraction form
    146,946/320,532 = 320,532/x
  3. Step 3: Cross multiply
    146,946x = 320,532 × 320,532
  4. Step 4: Simplify right side
    146,946x = 102,740,763,024
  5. Step 5: Solve for x
    x = 102,740,763,024/146,946
  6. Step 6: Final answer
    x = 699,173.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.