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Finding the Third Proportional to 144,960 and 230,616

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Solution

The third proportional to 144,960 and 230,616 is: 366,885.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,960 : 230,616 = 230,616 : x
  2. Step 2: Convert to fraction form
    144,960/230,616 = 230,616/x
  3. Step 3: Cross multiply
    144,960x = 230,616 × 230,616
  4. Step 4: Simplify right side
    144,960x = 53,183,739,456
  5. Step 5: Solve for x
    x = 53,183,739,456/144,960
  6. Step 6: Final answer
    x = 366,885.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.