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Finding the Third Proportional to 237,654 and 355,279

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Solution

The third proportional to 237,654 and 355,279 is: 531,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,654 : 355,279 = 355,279 : x
  2. Step 2: Convert to fraction form
    237,654/355,279 = 355,279/x
  3. Step 3: Cross multiply
    237,654x = 355,279 × 355,279
  4. Step 4: Simplify right side
    237,654x = 126,223,167,841
  5. Step 5: Solve for x
    x = 126,223,167,841/237,654
  6. Step 6: Final answer
    x = 531,121.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.