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Finding the Third Proportional to 137,166.75 and 200,400.75

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Solution

The third proportional to 137,166.75 and 200,400.75 is: 292,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,166.75 : 200,400.75 = 200,400.75 : x
  2. Step 2: Convert to fraction form
    137,166.75/200,400.75 = 200,400.75/x
  3. Step 3: Cross multiply
    137,166.75x = 200,400.75 × 200,400.75
  4. Step 4: Simplify right side
    137,166.75x = 40,160,460,600.56
  5. Step 5: Solve for x
    x = 40,160,460,600.56/137,166.75
  6. Step 6: Final answer
    x = 292,785.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.