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Finding the Third Proportional to 120,735 and 263,906

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Solution

The third proportional to 120,735 and 263,906 is: 576,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,735 : 263,906 = 263,906 : x
  2. Step 2: Convert to fraction form
    120,735/263,906 = 263,906/x
  3. Step 3: Cross multiply
    120,735x = 263,906 × 263,906
  4. Step 4: Simplify right side
    120,735x = 69,646,376,836
  5. Step 5: Solve for x
    x = 69,646,376,836/120,735
  6. Step 6: Final answer
    x = 576,853.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.