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Finding the Third Proportional to 76,578 and 167,804

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Solution

The third proportional to 76,578 and 167,804 is: 367,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,578 : 167,804 = 167,804 : x
  2. Step 2: Convert to fraction form
    76,578/167,804 = 167,804/x
  3. Step 3: Cross multiply
    76,578x = 167,804 × 167,804
  4. Step 4: Simplify right side
    76,578x = 28,158,182,416
  5. Step 5: Solve for x
    x = 28,158,182,416/76,578
  6. Step 6: Final answer
    x = 367,705.90

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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.