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Finding the Third Proportional to 115,913 and 253,993

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Solution

The third proportional to 115,913 and 253,993 is: 556,559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,913 : 253,993 = 253,993 : x
  2. Step 2: Convert to fraction form
    115,913/253,993 = 253,993/x
  3. Step 3: Cross multiply
    115,913x = 253,993 × 253,993
  4. Step 4: Simplify right side
    115,913x = 64,512,444,049
  5. Step 5: Solve for x
    x = 64,512,444,049/115,913
  6. Step 6: Final answer
    x = 556,559.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.