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Finding the Third Proportional to 163,383.75 and 341,732.25

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Solution

The third proportional to 163,383.75 and 341,732.25 is: 714,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,383.75 : 341,732.25 = 341,732.25 : x
  2. Step 2: Convert to fraction form
    163,383.75/341,732.25 = 341,732.25/x
  3. Step 3: Cross multiply
    163,383.75x = 341,732.25 × 341,732.25
  4. Step 4: Simplify right side
    163,383.75x = 116,780,930,690.06
  5. Step 5: Solve for x
    x = 116,780,930,690.06/163,383.75
  6. Step 6: Final answer
    x = 714,764.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.