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Finding the Third Proportional to 77,808 and 167,904

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Solution

The third proportional to 77,808 and 167,904 is: 362,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,808 : 167,904 = 167,904 : x
  2. Step 2: Convert to fraction form
    77,808/167,904 = 167,904/x
  3. Step 3: Cross multiply
    77,808x = 167,904 × 167,904
  4. Step 4: Simplify right side
    77,808x = 28,191,753,216
  5. Step 5: Solve for x
    x = 28,191,753,216/77,808
  6. Step 6: Final answer
    x = 362,324.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.