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Finding the Third Proportional to 184,547.25 and 396,564.75

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Solution

The third proportional to 184,547.25 and 396,564.75 is: 852,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,547.25 : 396,564.75 = 396,564.75 : x
  2. Step 2: Convert to fraction form
    184,547.25/396,564.75 = 396,564.75/x
  3. Step 3: Cross multiply
    184,547.25x = 396,564.75 × 396,564.75
  4. Step 4: Simplify right side
    184,547.25x = 157,263,600,942.56
  5. Step 5: Solve for x
    x = 157,263,600,942.56/184,547.25
  6. Step 6: Final answer
    x = 852,159.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.