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Finding the Third Proportional to 184,405.50 and 280,434.38

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Solution

The third proportional to 184,405.50 and 280,434.38 is: 426,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,405.50 : 280,434.38 = 280,434.38 : x
  2. Step 2: Convert to fraction form
    184,405.50/280,434.38 = 280,434.38/x
  3. Step 3: Cross multiply
    184,405.50x = 280,434.38 × 280,434.38
  4. Step 4: Simplify right side
    184,405.50x = 78,643,438,681.64
  5. Step 5: Solve for x
    x = 78,643,438,681.64/184,405.50
  6. Step 6: Final answer
    x = 426,470.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.