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Finding the Third Proportional to 186,486 and 281,277

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Solution

The third proportional to 186,486 and 281,277 is: 424,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,486 : 281,277 = 281,277 : x
  2. Step 2: Convert to fraction form
    186,486/281,277 = 281,277/x
  3. Step 3: Cross multiply
    186,486x = 281,277 × 281,277
  4. Step 4: Simplify right side
    186,486x = 79,116,750,729
  5. Step 5: Solve for x
    x = 79,116,750,729/186,486
  6. Step 6: Final answer
    x = 424,250.35

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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.