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Finding the Third Proportional to 144,990 and 294,054

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Solution

The third proportional to 144,990 and 294,054 is: 596,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,990 : 294,054 = 294,054 : x
  2. Step 2: Convert to fraction form
    144,990/294,054 = 294,054/x
  3. Step 3: Cross multiply
    144,990x = 294,054 × 294,054
  4. Step 4: Simplify right side
    144,990x = 86,467,754,916
  5. Step 5: Solve for x
    x = 86,467,754,916/144,990
  6. Step 6: Final answer
    x = 596,370.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.