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Finding the Third Proportional to 144,686 and 300,460

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Solution

The third proportional to 144,686 and 300,460 is: 623,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,686 : 300,460 = 300,460 : x
  2. Step 2: Convert to fraction form
    144,686/300,460 = 300,460/x
  3. Step 3: Cross multiply
    144,686x = 300,460 × 300,460
  4. Step 4: Simplify right side
    144,686x = 90,276,211,600
  5. Step 5: Solve for x
    x = 90,276,211,600/144,686
  6. Step 6: Final answer
    x = 623,945.73

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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.