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Finding the Third Proportional to 144,684 and 300,456

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Solution

The third proportional to 144,684 and 300,456 is: 623,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,684 : 300,456 = 300,456 : x
  2. Step 2: Convert to fraction form
    144,684/300,456 = 300,456/x
  3. Step 3: Cross multiply
    144,684x = 300,456 × 300,456
  4. Step 4: Simplify right side
    144,684x = 90,273,807,936
  5. Step 5: Solve for x
    x = 90,273,807,936/144,684
  6. Step 6: Final answer
    x = 623,937.74

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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.