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Finding the Third Proportional to 69,385 and 150,435

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Solution

The third proportional to 69,385 and 150,435 is: 326,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,385 : 150,435 = 150,435 : x
  2. Step 2: Convert to fraction form
    69,385/150,435 = 150,435/x
  3. Step 3: Cross multiply
    69,385x = 150,435 × 150,435
  4. Step 4: Simplify right side
    69,385x = 22,630,689,225
  5. Step 5: Solve for x
    x = 22,630,689,225/69,385
  6. Step 6: Final answer
    x = 326,161.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.