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Finding the Third Proportional to 143,458 and 293,250

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Solution

The third proportional to 143,458 and 293,250 is: 599,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,458 : 293,250 = 293,250 : x
  2. Step 2: Convert to fraction form
    143,458/293,250 = 293,250/x
  3. Step 3: Cross multiply
    143,458x = 293,250 × 293,250
  4. Step 4: Simplify right side
    143,458x = 85,995,562,500
  5. Step 5: Solve for x
    x = 85,995,562,500/143,458
  6. Step 6: Final answer
    x = 599,447.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.