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Finding the Third Proportional to 184,788 and 399,120

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Solution

The third proportional to 184,788 and 399,120 is: 862,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,788 : 399,120 = 399,120 : x
  2. Step 2: Convert to fraction form
    184,788/399,120 = 399,120/x
  3. Step 3: Cross multiply
    184,788x = 399,120 × 399,120
  4. Step 4: Simplify right side
    184,788x = 159,296,774,400
  5. Step 5: Solve for x
    x = 159,296,774,400/184,788
  6. Step 6: Final answer
    x = 862,051.51

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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.