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Finding the Third Proportional to 184,746 and 270,539

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Solution

The third proportional to 184,746 and 270,539 is: 396,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,746 : 270,539 = 270,539 : x
  2. Step 2: Convert to fraction form
    184,746/270,539 = 270,539/x
  3. Step 3: Cross multiply
    184,746x = 270,539 × 270,539
  4. Step 4: Simplify right side
    184,746x = 73,191,350,521
  5. Step 5: Solve for x
    x = 73,191,350,521/184,746
  6. Step 6: Final answer
    x = 396,172.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.