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Finding the Third Proportional to 235,330 and 355,174

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Solution

The third proportional to 235,330 and 355,174 is: 536,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,330 : 355,174 = 355,174 : x
  2. Step 2: Convert to fraction form
    235,330/355,174 = 355,174/x
  3. Step 3: Cross multiply
    235,330x = 355,174 × 355,174
  4. Step 4: Simplify right side
    235,330x = 126,148,570,276
  5. Step 5: Solve for x
    x = 126,148,570,276/235,330
  6. Step 6: Final answer
    x = 536,049.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.