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Finding the Third Proportional to 230,174 and 353,280

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Solution

The third proportional to 230,174 and 353,280 is: 542,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,174 : 353,280 = 353,280 : x
  2. Step 2: Convert to fraction form
    230,174/353,280 = 353,280/x
  3. Step 3: Cross multiply
    230,174x = 353,280 × 353,280
  4. Step 4: Simplify right side
    230,174x = 124,806,758,400
  5. Step 5: Solve for x
    x = 124,806,758,400/230,174
  6. Step 6: Final answer
    x = 542,227.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.