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Finding the Third Proportional to 69,386 and 150,352

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Solution

The third proportional to 69,386 and 150,352 is: 325,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,386 : 150,352 = 150,352 : x
  2. Step 2: Convert to fraction form
    69,386/150,352 = 150,352/x
  3. Step 3: Cross multiply
    69,386x = 150,352 × 150,352
  4. Step 4: Simplify right side
    69,386x = 22,605,723,904
  5. Step 5: Solve for x
    x = 22,605,723,904/69,386
  6. Step 6: Final answer
    x = 325,796.61

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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.