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Finding the Third Proportional to 139,554 and 310,266

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Solution

The third proportional to 139,554 and 310,266 is: 689,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,554 : 310,266 = 310,266 : x
  2. Step 2: Convert to fraction form
    139,554/310,266 = 310,266/x
  3. Step 3: Cross multiply
    139,554x = 310,266 × 310,266
  4. Step 4: Simplify right side
    139,554x = 96,264,990,756
  5. Step 5: Solve for x
    x = 96,264,990,756/139,554
  6. Step 6: Final answer
    x = 689,804.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.