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Finding the Third Proportional to 140,974 and 317,435

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Solution

The third proportional to 140,974 and 317,435 is: 714,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,974 : 317,435 = 317,435 : x
  2. Step 2: Convert to fraction form
    140,974/317,435 = 317,435/x
  3. Step 3: Cross multiply
    140,974x = 317,435 × 317,435
  4. Step 4: Simplify right side
    140,974x = 100,764,979,225
  5. Step 5: Solve for x
    x = 100,764,979,225/140,974
  6. Step 6: Final answer
    x = 714,777.05

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.