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Finding the Third Proportional to 148,403 and 330,029

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Solution

The third proportional to 148,403 and 330,029 is: 733,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,403 : 330,029 = 330,029 : x
  2. Step 2: Convert to fraction form
    148,403/330,029 = 330,029/x
  3. Step 3: Cross multiply
    148,403x = 330,029 × 330,029
  4. Step 4: Simplify right side
    148,403x = 108,919,140,841
  5. Step 5: Solve for x
    x = 108,919,140,841/148,403
  6. Step 6: Final answer
    x = 733,941.64

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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.