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Finding the Third Proportional to 176,942 and 281,442

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Solution

The third proportional to 176,942 and 281,442 is: 447,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,942 : 281,442 = 281,442 : x
  2. Step 2: Convert to fraction form
    176,942/281,442 = 281,442/x
  3. Step 3: Cross multiply
    176,942x = 281,442 × 281,442
  4. Step 4: Simplify right side
    176,942x = 79,209,599,364
  5. Step 5: Solve for x
    x = 79,209,599,364/176,942
  6. Step 6: Final answer
    x = 447,658.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.