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Finding the Third Proportional to 158,613 and 231,588

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Solution

The third proportional to 158,613 and 231,588 is: 338,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,613 : 231,588 = 231,588 : x
  2. Step 2: Convert to fraction form
    158,613/231,588 = 231,588/x
  3. Step 3: Cross multiply
    158,613x = 231,588 × 231,588
  4. Step 4: Simplify right side
    158,613x = 53,633,001,744
  5. Step 5: Solve for x
    x = 53,633,001,744/158,613
  6. Step 6: Final answer
    x = 338,137.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.