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Finding the Third Proportional to 176,549 and 270,123

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Solution

The third proportional to 176,549 and 270,123 is: 413,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,549 : 270,123 = 270,123 : x
  2. Step 2: Convert to fraction form
    176,549/270,123 = 270,123/x
  3. Step 3: Cross multiply
    176,549x = 270,123 × 270,123
  4. Step 4: Simplify right side
    176,549x = 72,966,435,129
  5. Step 5: Solve for x
    x = 72,966,435,129/176,549
  6. Step 6: Final answer
    x = 413,292.83

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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.