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Finding the Third Proportional to 140,666 and 332,057

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Solution

The third proportional to 140,666 and 332,057 is: 783,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,666 : 332,057 = 332,057 : x
  2. Step 2: Convert to fraction form
    140,666/332,057 = 332,057/x
  3. Step 3: Cross multiply
    140,666x = 332,057 × 332,057
  4. Step 4: Simplify right side
    140,666x = 110,261,851,249
  5. Step 5: Solve for x
    x = 110,261,851,249/140,666
  6. Step 6: Final answer
    x = 783,855.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.