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Finding the Third Proportional to 76,460 and 167,680

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Solution

The third proportional to 76,460 and 167,680 is: 367,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,460 : 167,680 = 167,680 : x
  2. Step 2: Convert to fraction form
    76,460/167,680 = 167,680/x
  3. Step 3: Cross multiply
    76,460x = 167,680 × 167,680
  4. Step 4: Simplify right side
    76,460x = 28,116,582,400
  5. Step 5: Solve for x
    x = 28,116,582,400/76,460
  6. Step 6: Final answer
    x = 367,729.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.