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Finding the Third Proportional to 148,600 and 225,740

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Solution

The third proportional to 148,600 and 225,740 is: 342,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,600 : 225,740 = 225,740 : x
  2. Step 2: Convert to fraction form
    148,600/225,740 = 225,740/x
  3. Step 3: Cross multiply
    148,600x = 225,740 × 225,740
  4. Step 4: Simplify right side
    148,600x = 50,958,547,600
  5. Step 5: Solve for x
    x = 50,958,547,600/148,600
  6. Step 6: Final answer
    x = 342,924.28

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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.