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Finding the Third Proportional to 112,762 and 262,211

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Solution

The third proportional to 112,762 and 262,211 is: 609,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,762 : 262,211 = 262,211 : x
  2. Step 2: Convert to fraction form
    112,762/262,211 = 262,211/x
  3. Step 3: Cross multiply
    112,762x = 262,211 × 262,211
  4. Step 4: Simplify right side
    112,762x = 68,754,608,521
  5. Step 5: Solve for x
    x = 68,754,608,521/112,762
  6. Step 6: Final answer
    x = 609,732.08

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.