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Finding the Third Proportional to 145,412 and 313,096

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Solution

The third proportional to 145,412 and 313,096 is: 674,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,412 : 313,096 = 313,096 : x
  2. Step 2: Convert to fraction form
    145,412/313,096 = 313,096/x
  3. Step 3: Cross multiply
    145,412x = 313,096 × 313,096
  4. Step 4: Simplify right side
    145,412x = 98,029,105,216
  5. Step 5: Solve for x
    x = 98,029,105,216/145,412
  6. Step 6: Final answer
    x = 674,147.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.