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Finding the Third Proportional to 145,717 and 231,704

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Solution

The third proportional to 145,717 and 231,704 is: 368,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,717 : 231,704 = 231,704 : x
  2. Step 2: Convert to fraction form
    145,717/231,704 = 231,704/x
  3. Step 3: Cross multiply
    145,717x = 231,704 × 231,704
  4. Step 4: Simplify right side
    145,717x = 53,686,743,616
  5. Step 5: Solve for x
    x = 53,686,743,616/145,717
  6. Step 6: Final answer
    x = 368,431.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.