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Finding the Third Proportional to 184,480 and 405,065

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Solution

The third proportional to 184,480 and 405,065 is: 889,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,480 : 405,065 = 405,065 : x
  2. Step 2: Convert to fraction form
    184,480/405,065 = 405,065/x
  3. Step 3: Cross multiply
    184,480x = 405,065 × 405,065
  4. Step 4: Simplify right side
    184,480x = 164,077,654,225
  5. Step 5: Solve for x
    x = 164,077,654,225/184,480
  6. Step 6: Final answer
    x = 889,406.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.