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Finding the Third Proportional to 184,070 and 389,358

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Solution

The third proportional to 184,070 and 389,358 is: 823,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,070 : 389,358 = 389,358 : x
  2. Step 2: Convert to fraction form
    184,070/389,358 = 389,358/x
  3. Step 3: Cross multiply
    184,070x = 389,358 × 389,358
  4. Step 4: Simplify right side
    184,070x = 151,599,652,164
  5. Step 5: Solve for x
    x = 151,599,652,164/184,070
  6. Step 6: Final answer
    x = 823,597.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.