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Finding the Third Proportional to 144,620 and 300,177

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Solution

The third proportional to 144,620 and 300,177 is: 623,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,620 : 300,177 = 300,177 : x
  2. Step 2: Convert to fraction form
    144,620/300,177 = 300,177/x
  3. Step 3: Cross multiply
    144,620x = 300,177 × 300,177
  4. Step 4: Simplify right side
    144,620x = 90,106,231,329
  5. Step 5: Solve for x
    x = 90,106,231,329/144,620
  6. Step 6: Final answer
    x = 623,055.12

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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.