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Finding the Third Proportional to 184,748 and 270,543

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Solution

The third proportional to 184,748 and 270,543 is: 396,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,748 : 270,543 = 270,543 : x
  2. Step 2: Convert to fraction form
    184,748/270,543 = 270,543/x
  3. Step 3: Cross multiply
    184,748x = 270,543 × 270,543
  4. Step 4: Simplify right side
    184,748x = 73,193,514,849
  5. Step 5: Solve for x
    x = 73,193,514,849/184,748
  6. Step 6: Final answer
    x = 396,180.28

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