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Finding the Third Proportional to 115,943.63 and 184,435.88

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Solution

The third proportional to 115,943.63 and 184,435.88 is: 293,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,943.63 : 184,435.88 = 184,435.88 : x
  2. Step 2: Convert to fraction form
    115,943.63/184,435.88 = 184,435.88/x
  3. Step 3: Cross multiply
    115,943.63x = 184,435.88 × 184,435.88
  4. Step 4: Simplify right side
    115,943.63x = 34,016,591,987.02
  5. Step 5: Solve for x
    x = 34,016,591,987.02/115,943.63
  6. Step 6: Final answer
    x = 293,389.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.