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Finding the Third Proportional to 118,294 and 178,673

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Solution

The third proportional to 118,294 and 178,673 is: 269,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,294 : 178,673 = 178,673 : x
  2. Step 2: Convert to fraction form
    118,294/178,673 = 178,673/x
  3. Step 3: Cross multiply
    118,294x = 178,673 × 178,673
  4. Step 4: Simplify right side
    118,294x = 31,924,040,929
  5. Step 5: Solve for x
    x = 31,924,040,929/118,294
  6. Step 6: Final answer
    x = 269,870.33

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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.