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Finding the Third Proportional to 146,946 and 218,259

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Solution

The third proportional to 146,946 and 218,259 is: 324,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,946 : 218,259 = 218,259 : x
  2. Step 2: Convert to fraction form
    146,946/218,259 = 218,259/x
  3. Step 3: Cross multiply
    146,946x = 218,259 × 218,259
  4. Step 4: Simplify right side
    146,946x = 47,636,991,081
  5. Step 5: Solve for x
    x = 47,636,991,081/146,946
  6. Step 6: Final answer
    x = 324,180.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.