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Finding the Third Proportional to 176,269.50 and 384,456.38

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Solution

The third proportional to 176,269.50 and 384,456.38 is: 838,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,269.50 : 384,456.38 = 384,456.38 : x
  2. Step 2: Convert to fraction form
    176,269.50/384,456.38 = 384,456.38/x
  3. Step 3: Cross multiply
    176,269.50x = 384,456.38 × 384,456.38
  4. Step 4: Simplify right side
    176,269.50x = 147,806,704,278.14
  5. Step 5: Solve for x
    x = 147,806,704,278.14/176,269.50
  6. Step 6: Final answer
    x = 838,526.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.