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Finding the Third Proportional to 192,195 and 420,590.25

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Solution

The third proportional to 192,195 and 420,590.25 is: 920,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,195 : 420,590.25 = 420,590.25 : x
  2. Step 2: Convert to fraction form
    192,195/420,590.25 = 420,590.25/x
  3. Step 3: Cross multiply
    192,195x = 420,590.25 × 420,590.25
  4. Step 4: Simplify right side
    192,195x = 176,896,158,395.06
  5. Step 5: Solve for x
    x = 176,896,158,395.06/192,195
  6. Step 6: Final answer
    x = 920,399.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.