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Finding the Third Proportional to 144,694.50 and 300,477

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Solution

The third proportional to 144,694.50 and 300,477 is: 623,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,694.50 : 300,477 = 300,477 : x
  2. Step 2: Convert to fraction form
    144,694.50/300,477 = 300,477/x
  3. Step 3: Cross multiply
    144,694.50x = 300,477 × 300,477
  4. Step 4: Simplify right side
    144,694.50x = 90,286,427,529
  5. Step 5: Solve for x
    x = 90,286,427,529/144,694.50
  6. Step 6: Final answer
    x = 623,979.68

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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.