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Finding the Third Proportional to 176,946 and 281,448

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Solution

The third proportional to 176,946 and 281,448 is: 447,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,946 : 281,448 = 281,448 : x
  2. Step 2: Convert to fraction form
    176,946/281,448 = 281,448/x
  3. Step 3: Cross multiply
    176,946x = 281,448 × 281,448
  4. Step 4: Simplify right side
    176,946x = 79,212,976,704
  5. Step 5: Solve for x
    x = 79,212,976,704/176,946
  6. Step 6: Final answer
    x = 447,667.52

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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.