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Finding the Third Proportional to 184,733.25 and 399,828

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Solution

The third proportional to 184,733.25 and 399,828 is: 865,369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,733.25 : 399,828 = 399,828 : x
  2. Step 2: Convert to fraction form
    184,733.25/399,828 = 399,828/x
  3. Step 3: Cross multiply
    184,733.25x = 399,828 × 399,828
  4. Step 4: Simplify right side
    184,733.25x = 159,862,429,584
  5. Step 5: Solve for x
    x = 159,862,429,584/184,733.25
  6. Step 6: Final answer
    x = 865,369.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.