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Finding the Third Proportional to 140,804 and 293,216

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Solution

The third proportional to 140,804 and 293,216 is: 610,604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,804 : 293,216 = 293,216 : x
  2. Step 2: Convert to fraction form
    140,804/293,216 = 293,216/x
  3. Step 3: Cross multiply
    140,804x = 293,216 × 293,216
  4. Step 4: Simplify right side
    140,804x = 85,975,622,656
  5. Step 5: Solve for x
    x = 85,975,622,656/140,804
  6. Step 6: Final answer
    x = 610,604.97

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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.