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Finding the Third Proportional to 184,125 and 403,395

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Solution

The third proportional to 184,125 and 403,395 is: 883,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,125 : 403,395 = 403,395 : x
  2. Step 2: Convert to fraction form
    184,125/403,395 = 403,395/x
  3. Step 3: Cross multiply
    184,125x = 403,395 × 403,395
  4. Step 4: Simplify right side
    184,125x = 162,727,526,025
  5. Step 5: Solve for x
    x = 162,727,526,025/184,125
  6. Step 6: Final answer
    x = 883,788.33

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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.