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Finding the Third Proportional to 184,497.75 and 288,046.13

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Solution

The third proportional to 184,497.75 and 288,046.13 is: 449,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,497.75 : 288,046.13 = 288,046.13 : x
  2. Step 2: Convert to fraction form
    184,497.75/288,046.13 = 288,046.13/x
  3. Step 3: Cross multiply
    184,497.75x = 288,046.13 × 288,046.13
  4. Step 4: Simplify right side
    184,497.75x = 82,970,570,127.52
  5. Step 5: Solve for x
    x = 82,970,570,127.52/184,497.75
  6. Step 6: Final answer
    x = 449,710.47

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.