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Finding the Third Proportional to 152,369 and 231,951

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Solution

The third proportional to 152,369 and 231,951 is: 353,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,369 : 231,951 = 231,951 : x
  2. Step 2: Convert to fraction form
    152,369/231,951 = 231,951/x
  3. Step 3: Cross multiply
    152,369x = 231,951 × 231,951
  4. Step 4: Simplify right side
    152,369x = 53,801,266,401
  5. Step 5: Solve for x
    x = 53,801,266,401/152,369
  6. Step 6: Final answer
    x = 353,098.51

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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.