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Finding the Third Proportional to 184,509.38 and 399,621.75

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Solution

The third proportional to 184,509.38 and 399,621.75 is: 865,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,509.38 : 399,621.75 = 399,621.75 : x
  2. Step 2: Convert to fraction form
    184,509.38/399,621.75 = 399,621.75/x
  3. Step 3: Cross multiply
    184,509.38x = 399,621.75 × 399,621.75
  4. Step 4: Simplify right side
    184,509.38x = 159,697,543,073.06
  5. Step 5: Solve for x
    x = 159,697,543,073.06/184,509.38
  6. Step 6: Final answer
    x = 865,525.36

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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.