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Finding the Third Proportional to 230,370 and 343,778.25

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Solution

The third proportional to 230,370 and 343,778.25 is: 513,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,370 : 343,778.25 = 343,778.25 : x
  2. Step 2: Convert to fraction form
    230,370/343,778.25 = 343,778.25/x
  3. Step 3: Cross multiply
    230,370x = 343,778.25 × 343,778.25
  4. Step 4: Simplify right side
    230,370x = 118,183,485,173.06
  5. Step 5: Solve for x
    x = 118,183,485,173.06/230,370
  6. Step 6: Final answer
    x = 513,015.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.