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Finding the Third Proportional to 199,434 and 430,176

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Solution

The third proportional to 199,434 and 430,176 is: 927,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,434 : 430,176 = 430,176 : x
  2. Step 2: Convert to fraction form
    199,434/430,176 = 430,176/x
  3. Step 3: Cross multiply
    199,434x = 430,176 × 430,176
  4. Step 4: Simplify right side
    199,434x = 185,051,390,976
  5. Step 5: Solve for x
    x = 185,051,390,976/199,434
  6. Step 6: Final answer
    x = 927,882.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.