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Finding the Third Proportional to 213,525 and 313,860

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Solution

The third proportional to 213,525 and 313,860 is: 461,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,525 : 313,860 = 313,860 : x
  2. Step 2: Convert to fraction form
    213,525/313,860 = 313,860/x
  3. Step 3: Cross multiply
    213,525x = 313,860 × 313,860
  4. Step 4: Simplify right side
    213,525x = 98,508,099,600
  5. Step 5: Solve for x
    x = 98,508,099,600/213,525
  6. Step 6: Final answer
    x = 461,342.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.