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Finding the Third Proportional to 213,646 and 335,135

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Solution

The third proportional to 213,646 and 335,135 is: 525,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,646 : 335,135 = 335,135 : x
  2. Step 2: Convert to fraction form
    213,646/335,135 = 335,135/x
  3. Step 3: Cross multiply
    213,646x = 335,135 × 335,135
  4. Step 4: Simplify right side
    213,646x = 112,315,468,225
  5. Step 5: Solve for x
    x = 112,315,468,225/213,646
  6. Step 6: Final answer
    x = 525,708.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.