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Finding the Third Proportional to 230,120 and 309,260

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Solution

The third proportional to 230,120 and 309,260 is: 415,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,120 : 309,260 = 309,260 : x
  2. Step 2: Convert to fraction form
    230,120/309,260 = 309,260/x
  3. Step 3: Cross multiply
    230,120x = 309,260 × 309,260
  4. Step 4: Simplify right side
    230,120x = 95,641,747,600
  5. Step 5: Solve for x
    x = 95,641,747,600/230,120
  6. Step 6: Final answer
    x = 415,616.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.