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Finding the Third Proportional to 186,493 and 281,297

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Solution

The third proportional to 186,493 and 281,297 is: 424,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,493 : 281,297 = 281,297 : x
  2. Step 2: Convert to fraction form
    186,493/281,297 = 281,297/x
  3. Step 3: Cross multiply
    186,493x = 281,297 × 281,297
  4. Step 4: Simplify right side
    186,493x = 79,128,002,209
  5. Step 5: Solve for x
    x = 79,128,002,209/186,493
  6. Step 6: Final answer
    x = 424,294.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.