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Finding the Third Proportional to 135,371.25 and 296,986.50

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Solution

The third proportional to 135,371.25 and 296,986.50 is: 651,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,371.25 : 296,986.50 = 296,986.50 : x
  2. Step 2: Convert to fraction form
    135,371.25/296,986.50 = 296,986.50/x
  3. Step 3: Cross multiply
    135,371.25x = 296,986.50 × 296,986.50
  4. Step 4: Simplify right side
    135,371.25x = 88,200,981,182.25
  5. Step 5: Solve for x
    x = 88,200,981,182.25/135,371.25
  6. Step 6: Final answer
    x = 651,548.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.