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Finding the Third Proportional to 184,528.13 and 254,238.75

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Solution

The third proportional to 184,528.13 and 254,238.75 is: 350,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,528.13 : 254,238.75 = 254,238.75 : x
  2. Step 2: Convert to fraction form
    184,528.13/254,238.75 = 254,238.75/x
  3. Step 3: Cross multiply
    184,528.13x = 254,238.75 × 254,238.75
  4. Step 4: Simplify right side
    184,528.13x = 64,637,342,001.56
  5. Step 5: Solve for x
    x = 64,637,342,001.56/184,528.13
  6. Step 6: Final answer
    x = 350,284.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.