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Finding the Third Proportional to 184,036 and 397,070

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Solution

The third proportional to 184,036 and 397,070 is: 856,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,036 : 397,070 = 397,070 : x
  2. Step 2: Convert to fraction form
    184,036/397,070 = 397,070/x
  3. Step 3: Cross multiply
    184,036x = 397,070 × 397,070
  4. Step 4: Simplify right side
    184,036x = 157,664,584,900
  5. Step 5: Solve for x
    x = 157,664,584,900/184,036
  6. Step 6: Final answer
    x = 856,705.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.