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Finding the Third Proportional to 186,592 and 281,235

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Solution

The third proportional to 186,592 and 281,235 is: 423,882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,592 : 281,235 = 281,235 : x
  2. Step 2: Convert to fraction form
    186,592/281,235 = 281,235/x
  3. Step 3: Cross multiply
    186,592x = 281,235 × 281,235
  4. Step 4: Simplify right side
    186,592x = 79,093,125,225
  5. Step 5: Solve for x
    x = 79,093,125,225/186,592
  6. Step 6: Final answer
    x = 423,882.72

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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.