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Finding the Third Proportional to 163,478 and 352,000

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Solution

The third proportional to 163,478 and 352,000 is: 757,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,478 : 352,000 = 352,000 : x
  2. Step 2: Convert to fraction form
    163,478/352,000 = 352,000/x
  3. Step 3: Cross multiply
    163,478x = 352,000 × 352,000
  4. Step 4: Simplify right side
    163,478x = 123,904,000,000
  5. Step 5: Solve for x
    x = 123,904,000,000/163,478
  6. Step 6: Final answer
    x = 757,924.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.