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Finding the Third Proportional to 150,267.75 and 317,302.50

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Solution

The third proportional to 150,267.75 and 317,302.50 is: 670,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,267.75 : 317,302.50 = 317,302.50 : x
  2. Step 2: Convert to fraction form
    150,267.75/317,302.50 = 317,302.50/x
  3. Step 3: Cross multiply
    150,267.75x = 317,302.50 × 317,302.50
  4. Step 4: Simplify right side
    150,267.75x = 100,680,876,506.25
  5. Step 5: Solve for x
    x = 100,680,876,506.25/150,267.75
  6. Step 6: Final answer
    x = 670,009.88

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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.