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Finding the Third Proportional to 172,022 and 377,954

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Solution

The third proportional to 172,022 and 377,954 is: 830,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,022 : 377,954 = 377,954 : x
  2. Step 2: Convert to fraction form
    172,022/377,954 = 377,954/x
  3. Step 3: Cross multiply
    172,022x = 377,954 × 377,954
  4. Step 4: Simplify right side
    172,022x = 142,849,226,116
  5. Step 5: Solve for x
    x = 142,849,226,116/172,022
  6. Step 6: Final answer
    x = 830,412.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.