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Finding the Third Proportional to 135,922.88 and 294,246.19

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Solution

The third proportional to 135,922.88 and 294,246.19 is: 636,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,922.88 : 294,246.19 = 294,246.19 : x
  2. Step 2: Convert to fraction form
    135,922.88/294,246.19 = 294,246.19/x
  3. Step 3: Cross multiply
    135,922.88x = 294,246.19 × 294,246.19
  4. Step 4: Simplify right side
    135,922.88x = 86,580,818,858.29
  5. Step 5: Solve for x
    x = 86,580,818,858.29/135,922.88
  6. Step 6: Final answer
    x = 636,984.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.