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Finding the Third Proportional to 187,530 and 382,022

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Solution

The third proportional to 187,530 and 382,022 is: 778,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,530 : 382,022 = 382,022 : x
  2. Step 2: Convert to fraction form
    187,530/382,022 = 382,022/x
  3. Step 3: Cross multiply
    187,530x = 382,022 × 382,022
  4. Step 4: Simplify right side
    187,530x = 145,940,808,484
  5. Step 5: Solve for x
    x = 145,940,808,484/187,530
  6. Step 6: Final answer
    x = 778,226.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.