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Finding the Third Proportional to 141,408 and 304,956

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Solution

The third proportional to 141,408 and 304,956 is: 657,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,408 : 304,956 = 304,956 : x
  2. Step 2: Convert to fraction form
    141,408/304,956 = 304,956/x
  3. Step 3: Cross multiply
    141,408x = 304,956 × 304,956
  4. Step 4: Simplify right side
    141,408x = 92,998,161,936
  5. Step 5: Solve for x
    x = 92,998,161,936/141,408
  6. Step 6: Final answer
    x = 657,658.42

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Why These Related Problems?

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