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Finding the Third Proportional to 180,383.25 and 389,653.50

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Solution

The third proportional to 180,383.25 and 389,653.50 is: 841,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,383.25 : 389,653.50 = 389,653.50 : x
  2. Step 2: Convert to fraction form
    180,383.25/389,653.50 = 389,653.50/x
  3. Step 3: Cross multiply
    180,383.25x = 389,653.50 × 389,653.50
  4. Step 4: Simplify right side
    180,383.25x = 151,829,850,062.25
  5. Step 5: Solve for x
    x = 151,829,850,062.25/180,383.25
  6. Step 6: Final answer
    x = 841,707.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.