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Finding the Third Proportional to 120,204 and 176,904

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Solution

The third proportional to 120,204 and 176,904 is: 260,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,204 : 176,904 = 176,904 : x
  2. Step 2: Convert to fraction form
    120,204/176,904 = 176,904/x
  3. Step 3: Cross multiply
    120,204x = 176,904 × 176,904
  4. Step 4: Simplify right side
    120,204x = 31,295,025,216
  5. Step 5: Solve for x
    x = 31,295,025,216/120,204
  6. Step 6: Final answer
    x = 260,349.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.