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Finding the Third Proportional to 116,279 and 251,148

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Solution

The third proportional to 116,279 and 251,148 is: 542,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,279 : 251,148 = 251,148 : x
  2. Step 2: Convert to fraction form
    116,279/251,148 = 251,148/x
  3. Step 3: Cross multiply
    116,279x = 251,148 × 251,148
  4. Step 4: Simplify right side
    116,279x = 63,075,317,904
  5. Step 5: Solve for x
    x = 63,075,317,904/116,279
  6. Step 6: Final answer
    x = 542,448.06

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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.