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Finding the Third Proportional to 148,511 and 325,093

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Solution

The third proportional to 148,511 and 325,093 is: 711,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,511 : 325,093 = 325,093 : x
  2. Step 2: Convert to fraction form
    148,511/325,093 = 325,093/x
  3. Step 3: Cross multiply
    148,511x = 325,093 × 325,093
  4. Step 4: Simplify right side
    148,511x = 105,685,458,649
  5. Step 5: Solve for x
    x = 105,685,458,649/148,511
  6. Step 6: Final answer
    x = 711,633.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.