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Finding the Third Proportional to 148,368 and 329,904

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Solution

The third proportional to 148,368 and 329,904 is: 733,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,368 : 329,904 = 329,904 : x
  2. Step 2: Convert to fraction form
    148,368/329,904 = 329,904/x
  3. Step 3: Cross multiply
    148,368x = 329,904 × 329,904
  4. Step 4: Simplify right side
    148,368x = 108,836,649,216
  5. Step 5: Solve for x
    x = 108,836,649,216/148,368
  6. Step 6: Final answer
    x = 733,558.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.