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Finding the Third Proportional to 134,559 and 317,193

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Solution

The third proportional to 134,559 and 317,193 is: 747,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,559 : 317,193 = 317,193 : x
  2. Step 2: Convert to fraction form
    134,559/317,193 = 317,193/x
  3. Step 3: Cross multiply
    134,559x = 317,193 × 317,193
  4. Step 4: Simplify right side
    134,559x = 100,611,399,249
  5. Step 5: Solve for x
    x = 100,611,399,249/134,559
  6. Step 6: Final answer
    x = 747,712.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.