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Finding the Third Proportional to 184,968.28 and 403,410.66

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Solution

The third proportional to 184,968.28 and 403,410.66 is: 879,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,968.28 : 403,410.66 = 403,410.66 : x
  2. Step 2: Convert to fraction form
    184,968.28/403,410.66 = 403,410.66/x
  3. Step 3: Cross multiply
    184,968.28x = 403,410.66 × 403,410.66
  4. Step 4: Simplify right side
    184,968.28x = 162,740,157,576.06
  5. Step 5: Solve for x
    x = 162,740,157,576.06/184,968.28
  6. Step 6: Final answer
    x = 879,827.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.