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Finding the Third Proportional to 120,237 and 259,743

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Solution

The third proportional to 120,237 and 259,743 is: 561,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,237 : 259,743 = 259,743 : x
  2. Step 2: Convert to fraction form
    120,237/259,743 = 259,743/x
  3. Step 3: Cross multiply
    120,237x = 259,743 × 259,743
  4. Step 4: Simplify right side
    120,237x = 67,466,426,049
  5. Step 5: Solve for x
    x = 67,466,426,049/120,237
  6. Step 6: Final answer
    x = 561,112.02

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