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Finding the Third Proportional to 184,133.25 and 278,690.63

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Solution

The third proportional to 184,133.25 and 278,690.63 is: 421,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,133.25 : 278,690.63 = 278,690.63 : x
  2. Step 2: Convert to fraction form
    184,133.25/278,690.63 = 278,690.63/x
  3. Step 3: Cross multiply
    184,133.25x = 278,690.63 × 278,690.63
  4. Step 4: Simplify right side
    184,133.25x = 77,668,464,462.89
  5. Step 5: Solve for x
    x = 77,668,464,462.89/184,133.25
  6. Step 6: Final answer
    x = 421,805.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.