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Finding the Third Proportional to 148,743 and 226,597.50

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Solution

The third proportional to 148,743 and 226,597.50 is: 345,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,743 : 226,597.50 = 226,597.50 : x
  2. Step 2: Convert to fraction form
    148,743/226,597.50 = 226,597.50/x
  3. Step 3: Cross multiply
    148,743x = 226,597.50 × 226,597.50
  4. Step 4: Simplify right side
    148,743x = 51,346,427,006.25
  5. Step 5: Solve for x
    x = 51,346,427,006.25/148,743
  6. Step 6: Final answer
    x = 345,202.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.