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Finding the Third Proportional to 119,296.13 and 184,479.75

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Solution

The third proportional to 119,296.13 and 184,479.75 is: 285,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,296.13 : 184,479.75 = 184,479.75 : x
  2. Step 2: Convert to fraction form
    119,296.13/184,479.75 = 184,479.75/x
  3. Step 3: Cross multiply
    119,296.13x = 184,479.75 × 184,479.75
  4. Step 4: Simplify right side
    119,296.13x = 34,032,778,160.06
  5. Step 5: Solve for x
    x = 34,032,778,160.06/119,296.13
  6. Step 6: Final answer
    x = 285,279.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.