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Finding the Third Proportional to 110,534.63 and 259,822.69

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Solution

The third proportional to 110,534.63 and 259,822.69 is: 610,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,534.63 : 259,822.69 = 259,822.69 : x
  2. Step 2: Convert to fraction form
    110,534.63/259,822.69 = 259,822.69/x
  3. Step 3: Cross multiply
    110,534.63x = 259,822.69 × 259,822.69
  4. Step 4: Simplify right side
    110,534.63x = 67,507,828,939.72
  5. Step 5: Solve for x
    x = 67,507,828,939.72/110,534.63
  6. Step 6: Final answer
    x = 610,739.20

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.