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Finding the Third Proportional to 184,253 and 399,610

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Solution

The third proportional to 184,253 and 399,610 is: 866,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,253 : 399,610 = 399,610 : x
  2. Step 2: Convert to fraction form
    184,253/399,610 = 399,610/x
  3. Step 3: Cross multiply
    184,253x = 399,610 × 399,610
  4. Step 4: Simplify right side
    184,253x = 159,688,152,100
  5. Step 5: Solve for x
    x = 159,688,152,100/184,253
  6. Step 6: Final answer
    x = 866,678.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.