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Finding the Third Proportional to 184,748 and 270,542

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Solution

The third proportional to 184,748 and 270,542 is: 396,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,748 : 270,542 = 270,542 : x
  2. Step 2: Convert to fraction form
    184,748/270,542 = 270,542/x
  3. Step 3: Cross multiply
    184,748x = 270,542 × 270,542
  4. Step 4: Simplify right side
    184,748x = 73,192,973,764
  5. Step 5: Solve for x
    x = 73,192,973,764/184,748
  6. Step 6: Final answer
    x = 396,177.35

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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.