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Finding the Third Proportional to 119,351 and 259,408

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Solution

The third proportional to 119,351 and 259,408 is: 563,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,351 : 259,408 = 259,408 : x
  2. Step 2: Convert to fraction form
    119,351/259,408 = 259,408/x
  3. Step 3: Cross multiply
    119,351x = 259,408 × 259,408
  4. Step 4: Simplify right side
    119,351x = 67,292,510,464
  5. Step 5: Solve for x
    x = 67,292,510,464/119,351
  6. Step 6: Final answer
    x = 563,820.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.