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Finding the Third Proportional to 149,496 and 231,717

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Solution

The third proportional to 149,496 and 231,717 is: 359,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,496 : 231,717 = 231,717 : x
  2. Step 2: Convert to fraction form
    149,496/231,717 = 231,717/x
  3. Step 3: Cross multiply
    149,496x = 231,717 × 231,717
  4. Step 4: Simplify right side
    149,496x = 53,692,768,089
  5. Step 5: Solve for x
    x = 53,692,768,089/149,496
  6. Step 6: Final answer
    x = 359,158.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.