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Finding the Third Proportional to 184,211.44 and 292,924.88

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Solution

The third proportional to 184,211.44 and 292,924.88 is: 465,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,211.44 : 292,924.88 = 292,924.88 : x
  2. Step 2: Convert to fraction form
    184,211.44/292,924.88 = 292,924.88/x
  3. Step 3: Cross multiply
    184,211.44x = 292,924.88 × 292,924.88
  4. Step 4: Simplify right side
    184,211.44x = 85,804,982,393.77
  5. Step 5: Solve for x
    x = 85,804,982,393.77/184,211.44
  6. Step 6: Final answer
    x = 465,796.17

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.