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Finding the Third Proportional to 150,268.50 and 317,304

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Solution

The third proportional to 150,268.50 and 317,304 is: 670,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,268.50 : 317,304 = 317,304 : x
  2. Step 2: Convert to fraction form
    150,268.50/317,304 = 317,304/x
  3. Step 3: Cross multiply
    150,268.50x = 317,304 × 317,304
  4. Step 4: Simplify right side
    150,268.50x = 100,681,828,416
  5. Step 5: Solve for x
    x = 100,681,828,416/150,268.50
  6. Step 6: Final answer
    x = 670,012.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.