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Finding the Third Proportional to 187,792 and 405,184

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Solution

The third proportional to 187,792 and 405,184 is: 874,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,792 : 405,184 = 405,184 : x
  2. Step 2: Convert to fraction form
    187,792/405,184 = 405,184/x
  3. Step 3: Cross multiply
    187,792x = 405,184 × 405,184
  4. Step 4: Simplify right side
    187,792x = 164,174,073,856
  5. Step 5: Solve for x
    x = 164,174,073,856/187,792
  6. Step 6: Final answer
    x = 874,233.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.