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Finding the Third Proportional to 137,006.44 and 214,975.27

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Solution

The third proportional to 137,006.44 and 214,975.27 is: 337,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,006.44 : 214,975.27 = 214,975.27 : x
  2. Step 2: Convert to fraction form
    137,006.44/214,975.27 = 214,975.27/x
  3. Step 3: Cross multiply
    137,006.44x = 214,975.27 × 214,975.27
  4. Step 4: Simplify right side
    137,006.44x = 46,214,364,830.54
  5. Step 5: Solve for x
    x = 46,214,364,830.54/137,006.44
  6. Step 6: Final answer
    x = 337,315.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.