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Finding the Third Proportional to 245,138 and 346,883

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Solution

The third proportional to 245,138 and 346,883 is: 490,857.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,138 : 346,883 = 346,883 : x
  2. Step 2: Convert to fraction form
    245,138/346,883 = 346,883/x
  3. Step 3: Cross multiply
    245,138x = 346,883 × 346,883
  4. Step 4: Simplify right side
    245,138x = 120,327,815,689
  5. Step 5: Solve for x
    x = 120,327,815,689/245,138
  6. Step 6: Final answer
    x = 490,857.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.