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Finding the Third Proportional to 155,678 and 245,990

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Solution

The third proportional to 155,678 and 245,990 is: 388,693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,678 : 245,990 = 245,990 : x
  2. Step 2: Convert to fraction form
    155,678/245,990 = 245,990/x
  3. Step 3: Cross multiply
    155,678x = 245,990 × 245,990
  4. Step 4: Simplify right side
    155,678x = 60,511,080,100
  5. Step 5: Solve for x
    x = 60,511,080,100/155,678
  6. Step 6: Final answer
    x = 388,693.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.