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Finding the Third Proportional to 148,038 and 325,593

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Solution

The third proportional to 148,038 and 325,593 is: 716,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,038 : 325,593 = 325,593 : x
  2. Step 2: Convert to fraction form
    148,038/325,593 = 325,593/x
  3. Step 3: Cross multiply
    148,038x = 325,593 × 325,593
  4. Step 4: Simplify right side
    148,038x = 106,010,801,649
  5. Step 5: Solve for x
    x = 106,010,801,649/148,038
  6. Step 6: Final answer
    x = 716,105.34

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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.