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Finding the Third Proportional to 115,914 and 253,995

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Solution

The third proportional to 115,914 and 253,995 is: 556,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,914 : 253,995 = 253,995 : x
  2. Step 2: Convert to fraction form
    115,914/253,995 = 253,995/x
  3. Step 3: Cross multiply
    115,914x = 253,995 × 253,995
  4. Step 4: Simplify right side
    115,914x = 64,513,460,025
  5. Step 5: Solve for x
    x = 64,513,460,025/115,914
  6. Step 6: Final answer
    x = 556,563.14

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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.