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Finding the Third Proportional to 184,209.25 and 292,919.50

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Solution

The third proportional to 184,209.25 and 292,919.50 is: 465,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,209.25 : 292,919.50 = 292,919.50 : x
  2. Step 2: Convert to fraction form
    184,209.25/292,919.50 = 292,919.50/x
  3. Step 3: Cross multiply
    184,209.25x = 292,919.50 × 292,919.50
  4. Step 4: Simplify right side
    184,209.25x = 85,801,833,480.25
  5. Step 5: Solve for x
    x = 85,801,833,480.25/184,209.25
  6. Step 6: Final answer
    x = 465,784.61

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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.