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Finding the Third Proportional to 85,216 and 184,536

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Solution

The third proportional to 85,216 and 184,536 is: 399,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,216 : 184,536 = 184,536 : x
  2. Step 2: Convert to fraction form
    85,216/184,536 = 184,536/x
  3. Step 3: Cross multiply
    85,216x = 184,536 × 184,536
  4. Step 4: Simplify right side
    85,216x = 34,053,535,296
  5. Step 5: Solve for x
    x = 34,053,535,296/85,216
  6. Step 6: Final answer
    x = 399,614.34

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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.