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Finding the Third Proportional to 139,954 and 298,596

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Solution

The third proportional to 139,954 and 298,596 is: 637,063.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,954 : 298,596 = 298,596 : x
  2. Step 2: Convert to fraction form
    139,954/298,596 = 298,596/x
  3. Step 3: Cross multiply
    139,954x = 298,596 × 298,596
  4. Step 4: Simplify right side
    139,954x = 89,159,571,216
  5. Step 5: Solve for x
    x = 89,159,571,216/139,954
  6. Step 6: Final answer
    x = 637,063.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.