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Finding the Third Proportional to 115,133 and 248,408

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Solution

The third proportional to 115,133 and 248,408 is: 535,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,133 : 248,408 = 248,408 : x
  2. Step 2: Convert to fraction form
    115,133/248,408 = 248,408/x
  3. Step 3: Cross multiply
    115,133x = 248,408 × 248,408
  4. Step 4: Simplify right side
    115,133x = 61,706,534,464
  5. Step 5: Solve for x
    x = 61,706,534,464/115,133
  6. Step 6: Final answer
    x = 535,958.71

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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.