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Finding the Third Proportional to 184,306 and 401,390

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Solution

The third proportional to 184,306 and 401,390 is: 874,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,306 : 401,390 = 401,390 : x
  2. Step 2: Convert to fraction form
    184,306/401,390 = 401,390/x
  3. Step 3: Cross multiply
    184,306x = 401,390 × 401,390
  4. Step 4: Simplify right side
    184,306x = 161,113,932,100
  5. Step 5: Solve for x
    x = 161,113,932,100/184,306
  6. Step 6: Final answer
    x = 874,165.42

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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.