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Finding the Third Proportional to 116,322 and 251,211

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Solution

The third proportional to 116,322 and 251,211 is: 542,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,322 : 251,211 = 251,211 : x
  2. Step 2: Convert to fraction form
    116,322/251,211 = 251,211/x
  3. Step 3: Cross multiply
    116,322x = 251,211 × 251,211
  4. Step 4: Simplify right side
    116,322x = 63,106,966,521
  5. Step 5: Solve for x
    x = 63,106,966,521/116,322
  6. Step 6: Final answer
    x = 542,519.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.