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Finding the Third Proportional to 192,322.69 and 408,429

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Solution

The third proportional to 192,322.69 and 408,429 is: 867,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,322.69 : 408,429 = 408,429 : x
  2. Step 2: Convert to fraction form
    192,322.69/408,429 = 408,429/x
  3. Step 3: Cross multiply
    192,322.69x = 408,429 × 408,429
  4. Step 4: Simplify right side
    192,322.69x = 166,814,248,041
  5. Step 5: Solve for x
    x = 166,814,248,041/192,322.69
  6. Step 6: Final answer
    x = 867,366.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.