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Finding the Third Proportional to 184,139 and 403,412

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Solution

The third proportional to 184,139 and 403,412 is: 883,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,139 : 403,412 = 403,412 : x
  2. Step 2: Convert to fraction form
    184,139/403,412 = 403,412/x
  3. Step 3: Cross multiply
    184,139x = 403,412 × 403,412
  4. Step 4: Simplify right side
    184,139x = 162,741,241,744
  5. Step 5: Solve for x
    x = 162,741,241,744/184,139
  6. Step 6: Final answer
    x = 883,795.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.