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Finding the Third Proportional to 184,294 and 401,935

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Solution

The third proportional to 184,294 and 401,935 is: 876,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,294 : 401,935 = 401,935 : x
  2. Step 2: Convert to fraction form
    184,294/401,935 = 401,935/x
  3. Step 3: Cross multiply
    184,294x = 401,935 × 401,935
  4. Step 4: Simplify right side
    184,294x = 161,551,744,225
  5. Step 5: Solve for x
    x = 161,551,744,225/184,294
  6. Step 6: Final answer
    x = 876,597.96

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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.