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Finding the Third Proportional to 135,823.50 and 211,929.75

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Solution

The third proportional to 135,823.50 and 211,929.75 is: 330,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,823.50 : 211,929.75 = 211,929.75 : x
  2. Step 2: Convert to fraction form
    135,823.50/211,929.75 = 211,929.75/x
  3. Step 3: Cross multiply
    135,823.50x = 211,929.75 × 211,929.75
  4. Step 4: Simplify right side
    135,823.50x = 44,914,218,935.06
  5. Step 5: Solve for x
    x = 44,914,218,935.06/135,823.50
  6. Step 6: Final answer
    x = 330,680.77

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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.