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Finding the Third Proportional to 149,853 and 313,476

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Solution

The third proportional to 149,853 and 313,476 is: 655,757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,853 : 313,476 = 313,476 : x
  2. Step 2: Convert to fraction form
    149,853/313,476 = 313,476/x
  3. Step 3: Cross multiply
    149,853x = 313,476 × 313,476
  4. Step 4: Simplify right side
    149,853x = 98,267,202,576
  5. Step 5: Solve for x
    x = 98,267,202,576/149,853
  6. Step 6: Final answer
    x = 655,757.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.