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Finding the Third Proportional to 75,451.50 and 184,801.50

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Solution

The third proportional to 75,451.50 and 184,801.50 is: 452,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,451.50 : 184,801.50 = 184,801.50 : x
  2. Step 2: Convert to fraction form
    75,451.50/184,801.50 = 184,801.50/x
  3. Step 3: Cross multiply
    75,451.50x = 184,801.50 × 184,801.50
  4. Step 4: Simplify right side
    75,451.50x = 34,151,594,402.25
  5. Step 5: Solve for x
    x = 34,151,594,402.25/75,451.50
  6. Step 6: Final answer
    x = 452,629.76

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.