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Finding the Third Proportional to 184,699.69 and 400,926.19

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Solution

The third proportional to 184,699.69 and 400,926.19 is: 870,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,699.69 : 400,926.19 = 400,926.19 : x
  2. Step 2: Convert to fraction form
    184,699.69/400,926.19 = 400,926.19/x
  3. Step 3: Cross multiply
    184,699.69x = 400,926.19 × 400,926.19
  4. Step 4: Simplify right side
    184,699.69x = 160,741,807,823.29
  5. Step 5: Solve for x
    x = 160,741,807,823.29/184,699.69
  6. Step 6: Final answer
    x = 870,287.38

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Why These Related Problems?

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