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Finding the Third Proportional to 238,956.75 and 366,727.50

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Solution

The third proportional to 238,956.75 and 366,727.50 is: 562,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,956.75 : 366,727.50 = 366,727.50 : x
  2. Step 2: Convert to fraction form
    238,956.75/366,727.50 = 366,727.50/x
  3. Step 3: Cross multiply
    238,956.75x = 366,727.50 × 366,727.50
  4. Step 4: Simplify right side
    238,956.75x = 134,489,059,256.25
  5. Step 5: Solve for x
    x = 134,489,059,256.25/238,956.75
  6. Step 6: Final answer
    x = 562,817.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.