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Finding the Third Proportional to 76,528 and 167,824

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Solution

The third proportional to 76,528 and 167,824 is: 368,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,528 : 167,824 = 167,824 : x
  2. Step 2: Convert to fraction form
    76,528/167,824 = 167,824/x
  3. Step 3: Cross multiply
    76,528x = 167,824 × 167,824
  4. Step 4: Simplify right side
    76,528x = 28,164,894,976
  5. Step 5: Solve for x
    x = 28,164,894,976/76,528
  6. Step 6: Final answer
    x = 368,033.86

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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.