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Finding the Third Proportional to 184,848.75 and 404,169.75

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Solution

The third proportional to 184,848.75 and 404,169.75 is: 883,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,848.75 : 404,169.75 = 404,169.75 : x
  2. Step 2: Convert to fraction form
    184,848.75/404,169.75 = 404,169.75/x
  3. Step 3: Cross multiply
    184,848.75x = 404,169.75 × 404,169.75
  4. Step 4: Simplify right side
    184,848.75x = 163,353,186,815.06
  5. Step 5: Solve for x
    x = 163,353,186,815.06/184,848.75
  6. Step 6: Final answer
    x = 883,712.69

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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.