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Finding the Third Proportional to 115,826.63 and 253,796.63

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Solution

The third proportional to 115,826.63 and 253,796.63 is: 556,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,826.63 : 253,796.63 = 253,796.63 : x
  2. Step 2: Convert to fraction form
    115,826.63/253,796.63 = 253,796.63/x
  3. Step 3: Cross multiply
    115,826.63x = 253,796.63 × 253,796.63
  4. Step 4: Simplify right side
    115,826.63x = 64,412,726,861.39
  5. Step 5: Solve for x
    x = 64,412,726,861.39/115,826.63
  6. Step 6: Final answer
    x = 556,113.30

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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.