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Finding the Third Proportional to 176,573 and 268,940

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Solution

The third proportional to 176,573 and 268,940 is: 409,625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,573 : 268,940 = 268,940 : x
  2. Step 2: Convert to fraction form
    176,573/268,940 = 268,940/x
  3. Step 3: Cross multiply
    176,573x = 268,940 × 268,940
  4. Step 4: Simplify right side
    176,573x = 72,328,723,600
  5. Step 5: Solve for x
    x = 72,328,723,600/176,573
  6. Step 6: Final answer
    x = 409,625.05

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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.