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Finding the Third Proportional to 192,181.69 and 420,564.19

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Solution

The third proportional to 192,181.69 and 420,564.19 is: 920,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,181.69 : 420,564.19 = 420,564.19 : x
  2. Step 2: Convert to fraction form
    192,181.69/420,564.19 = 420,564.19/x
  3. Step 3: Cross multiply
    192,181.69x = 420,564.19 × 420,564.19
  4. Step 4: Simplify right side
    192,181.69x = 176,874,235,807.54
  5. Step 5: Solve for x
    x = 176,874,235,807.54/192,181.69
  6. Step 6: Final answer
    x = 920,349.06

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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.