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Finding the Third Proportional to 85,322 and 183,280

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Solution

The third proportional to 85,322 and 183,280 is: 393,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,322 : 183,280 = 183,280 : x
  2. Step 2: Convert to fraction form
    85,322/183,280 = 183,280/x
  3. Step 3: Cross multiply
    85,322x = 183,280 × 183,280
  4. Step 4: Simplify right side
    85,322x = 33,591,558,400
  5. Step 5: Solve for x
    x = 33,591,558,400/85,322
  6. Step 6: Final answer
    x = 393,703.36

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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.