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Finding the Third Proportional to 120,938 and 263,370

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Solution

The third proportional to 120,938 and 263,370 is: 573,548.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,938 : 263,370 = 263,370 : x
  2. Step 2: Convert to fraction form
    120,938/263,370 = 263,370/x
  3. Step 3: Cross multiply
    120,938x = 263,370 × 263,370
  4. Step 4: Simplify right side
    120,938x = 69,363,756,900
  5. Step 5: Solve for x
    x = 69,363,756,900/120,938
  6. Step 6: Final answer
    x = 573,548.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.