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Finding the Third Proportional to 184,590 and 400,691.25

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Solution

The third proportional to 184,590 and 400,691.25 is: 869,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,590 : 400,691.25 = 400,691.25 : x
  2. Step 2: Convert to fraction form
    184,590/400,691.25 = 400,691.25/x
  3. Step 3: Cross multiply
    184,590x = 400,691.25 × 400,691.25
  4. Step 4: Simplify right side
    184,590x = 160,553,477,826.56
  5. Step 5: Solve for x
    x = 160,553,477,826.56/184,590
  6. Step 6: Final answer
    x = 869,784.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.