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Finding the Third Proportional to 158,234.63 and 339,330.38

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Solution

The third proportional to 158,234.63 and 339,330.38 is: 727,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,234.63 : 339,330.38 = 339,330.38 : x
  2. Step 2: Convert to fraction form
    158,234.63/339,330.38 = 339,330.38/x
  3. Step 3: Cross multiply
    158,234.63x = 339,330.38 × 339,330.38
  4. Step 4: Simplify right side
    158,234.63x = 115,145,103,397.64
  5. Step 5: Solve for x
    x = 115,145,103,397.64/158,234.63
  6. Step 6: Final answer
    x = 727,685.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.