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Finding the Third Proportional to 115,837 and 253,818

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Solution

The third proportional to 115,837 and 253,818 is: 556,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,837 : 253,818 = 253,818 : x
  2. Step 2: Convert to fraction form
    115,837/253,818 = 253,818/x
  3. Step 3: Cross multiply
    115,837x = 253,818 × 253,818
  4. Step 4: Simplify right side
    115,837x = 64,423,577,124
  5. Step 5: Solve for x
    x = 64,423,577,124/115,837
  6. Step 6: Final answer
    x = 556,157.16

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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.