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Finding the Third Proportional to 120,745 and 263,927

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Solution

The third proportional to 120,745 and 263,927 is: 576,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,745 : 263,927 = 263,927 : x
  2. Step 2: Convert to fraction form
    120,745/263,927 = 263,927/x
  3. Step 3: Cross multiply
    120,745x = 263,927 × 263,927
  4. Step 4: Simplify right side
    120,745x = 69,657,461,329
  5. Step 5: Solve for x
    x = 69,657,461,329/120,745
  6. Step 6: Final answer
    x = 576,897.27

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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.