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Finding the Third Proportional to 148,128 and 301,764

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Solution

The third proportional to 148,128 and 301,764 is: 614,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,128 : 301,764 = 301,764 : x
  2. Step 2: Convert to fraction form
    148,128/301,764 = 301,764/x
  3. Step 3: Cross multiply
    148,128x = 301,764 × 301,764
  4. Step 4: Simplify right side
    148,128x = 91,061,511,696
  5. Step 5: Solve for x
    x = 91,061,511,696/148,128
  6. Step 6: Final answer
    x = 614,748.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.