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Finding the Third Proportional to 148,752.56 and 327,029.63

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Solution

The third proportional to 148,752.56 and 327,029.63 is: 718,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,752.56 : 327,029.63 = 327,029.63 : x
  2. Step 2: Convert to fraction form
    148,752.56/327,029.63 = 327,029.63/x
  3. Step 3: Cross multiply
    148,752.56x = 327,029.63 × 327,029.63
  4. Step 4: Simplify right side
    148,752.56x = 106,948,375,627.64
  5. Step 5: Solve for x
    x = 106,948,375,627.64/148,752.56
  6. Step 6: Final answer
    x = 718,968.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.