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Finding the Third Proportional to 188,176 and 402,600

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Solution

The third proportional to 188,176 and 402,600 is: 861,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,176 : 402,600 = 402,600 : x
  2. Step 2: Convert to fraction form
    188,176/402,600 = 402,600/x
  3. Step 3: Cross multiply
    188,176x = 402,600 × 402,600
  4. Step 4: Simplify right side
    188,176x = 162,086,760,000
  5. Step 5: Solve for x
    x = 162,086,760,000/188,176
  6. Step 6: Final answer
    x = 861,357.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.