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Finding the Third Proportional to 154,467 and 318,471.75

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Solution

The third proportional to 154,467 and 318,471.75 is: 656,607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,467 : 318,471.75 = 318,471.75 : x
  2. Step 2: Convert to fraction form
    154,467/318,471.75 = 318,471.75/x
  3. Step 3: Cross multiply
    154,467x = 318,471.75 × 318,471.75
  4. Step 4: Simplify right side
    154,467x = 101,424,255,548.06
  5. Step 5: Solve for x
    x = 101,424,255,548.06/154,467
  6. Step 6: Final answer
    x = 656,607.92

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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.