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Finding the Third Proportional to 184,581 and 271,687.50

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Solution

The third proportional to 184,581 and 271,687.50 is: 399,900.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,581 : 271,687.50 = 271,687.50 : x
  2. Step 2: Convert to fraction form
    184,581/271,687.50 = 271,687.50/x
  3. Step 3: Cross multiply
    184,581x = 271,687.50 × 271,687.50
  4. Step 4: Simplify right side
    184,581x = 73,814,097,656.25
  5. Step 5: Solve for x
    x = 73,814,097,656.25/184,581
  6. Step 6: Final answer
    x = 399,900.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.