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Finding the Third Proportional to 118,227.09 and 178,567.03

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Solution

The third proportional to 118,227.09 and 178,567.03 is: 269,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,227.09 : 178,567.03 = 178,567.03 : x
  2. Step 2: Convert to fraction form
    118,227.09/178,567.03 = 178,567.03/x
  3. Step 3: Cross multiply
    118,227.09x = 178,567.03 × 178,567.03
  4. Step 4: Simplify right side
    118,227.09x = 31,886,184,649.44
  5. Step 5: Solve for x
    x = 31,886,184,649.44/118,227.09
  6. Step 6: Final answer
    x = 269,702.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.