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Finding the Third Proportional to 184,720 and 401,792

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Solution

The third proportional to 184,720 and 401,792 is: 873,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,720 : 401,792 = 401,792 : x
  2. Step 2: Convert to fraction form
    184,720/401,792 = 401,792/x
  3. Step 3: Cross multiply
    184,720x = 401,792 × 401,792
  4. Step 4: Simplify right side
    184,720x = 161,436,811,264
  5. Step 5: Solve for x
    x = 161,436,811,264/184,720
  6. Step 6: Final answer
    x = 873,954.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.