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Finding the Third Proportional to 154,520 and 318,968

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Solution

The third proportional to 154,520 and 318,968 is: 658,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,520 : 318,968 = 318,968 : x
  2. Step 2: Convert to fraction form
    154,520/318,968 = 318,968/x
  3. Step 3: Cross multiply
    154,520x = 318,968 × 318,968
  4. Step 4: Simplify right side
    154,520x = 101,740,585,024
  5. Step 5: Solve for x
    x = 101,740,585,024/154,520
  6. Step 6: Final answer
    x = 658,429.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.