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Finding the Third Proportional to 156,950 and 339,048

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Solution

The third proportional to 156,950 and 339,048 is: 732,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,950 : 339,048 = 339,048 : x
  2. Step 2: Convert to fraction form
    156,950/339,048 = 339,048/x
  3. Step 3: Cross multiply
    156,950x = 339,048 × 339,048
  4. Step 4: Simplify right side
    156,950x = 114,953,546,304
  5. Step 5: Solve for x
    x = 114,953,546,304/156,950
  6. Step 6: Final answer
    x = 732,421.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.