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Finding the Third Proportional to 170,838 and 408,022

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Solution

The third proportional to 170,838 and 408,022 is: 974,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,838 : 408,022 = 408,022 : x
  2. Step 2: Convert to fraction form
    170,838/408,022 = 408,022/x
  3. Step 3: Cross multiply
    170,838x = 408,022 × 408,022
  4. Step 4: Simplify right side
    170,838x = 166,481,952,484
  5. Step 5: Solve for x
    x = 166,481,952,484/170,838
  6. Step 6: Final answer
    x = 974,501.88

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.