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Finding the Third Proportional to 176,203 and 268,436

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Solution

The third proportional to 176,203 and 268,436 is: 408,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,203 : 268,436 = 268,436 : x
  2. Step 2: Convert to fraction form
    176,203/268,436 = 268,436/x
  3. Step 3: Cross multiply
    176,203x = 268,436 × 268,436
  4. Step 4: Simplify right side
    176,203x = 72,057,886,096
  5. Step 5: Solve for x
    x = 72,057,886,096/176,203
  6. Step 6: Final answer
    x = 408,948.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.