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Finding the Third Proportional to 144,693 and 300,474

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Solution

The third proportional to 144,693 and 300,474 is: 623,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,693 : 300,474 = 300,474 : x
  2. Step 2: Convert to fraction form
    144,693/300,474 = 300,474/x
  3. Step 3: Cross multiply
    144,693x = 300,474 × 300,474
  4. Step 4: Simplify right side
    144,693x = 90,284,624,676
  5. Step 5: Solve for x
    x = 90,284,624,676/144,693
  6. Step 6: Final answer
    x = 623,973.69

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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.