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Finding the Third Proportional to 136,262.25 and 210,984.75

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Solution

The third proportional to 136,262.25 and 210,984.75 is: 326,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,262.25 : 210,984.75 = 210,984.75 : x
  2. Step 2: Convert to fraction form
    136,262.25/210,984.75 = 210,984.75/x
  3. Step 3: Cross multiply
    136,262.25x = 210,984.75 × 210,984.75
  4. Step 4: Simplify right side
    136,262.25x = 44,514,564,732.56
  5. Step 5: Solve for x
    x = 44,514,564,732.56/136,262.25
  6. Step 6: Final answer
    x = 326,683.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.