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Finding the Third Proportional to 184,735 and 399,832

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Solution

The third proportional to 184,735 and 399,832 is: 865,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,735 : 399,832 = 399,832 : x
  2. Step 2: Convert to fraction form
    184,735/399,832 = 399,832/x
  3. Step 3: Cross multiply
    184,735x = 399,832 × 399,832
  4. Step 4: Simplify right side
    184,735x = 159,865,628,224
  5. Step 5: Solve for x
    x = 159,865,628,224/184,735
  6. Step 6: Final answer
    x = 865,378.13

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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.