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Finding the Third Proportional to 143,911 and 215,884

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Solution

The third proportional to 143,911 and 215,884 is: 323,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,911 : 215,884 = 215,884 : x
  2. Step 2: Convert to fraction form
    143,911/215,884 = 215,884/x
  3. Step 3: Cross multiply
    143,911x = 215,884 × 215,884
  4. Step 4: Simplify right side
    143,911x = 46,605,901,456
  5. Step 5: Solve for x
    x = 46,605,901,456/143,911
  6. Step 6: Final answer
    x = 323,852.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.