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Finding the Third Proportional to 184,741.59 and 399,844.69

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Solution

The third proportional to 184,741.59 and 399,844.69 is: 865,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,741.59 : 399,844.69 = 399,844.69 : x
  2. Step 2: Convert to fraction form
    184,741.59/399,844.69 = 399,844.69/x
  3. Step 3: Cross multiply
    184,741.59x = 399,844.69 × 399,844.69
  4. Step 4: Simplify right side
    184,741.59x = 159,875,774,121.97
  5. Step 5: Solve for x
    x = 159,875,774,121.97/184,741.59
  6. Step 6: Final answer
    x = 865,402.16

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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.