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Finding the Third Proportional to 186,532 and 281,360

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Solution

The third proportional to 186,532 and 281,360 is: 424,396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,532 : 281,360 = 281,360 : x
  2. Step 2: Convert to fraction form
    186,532/281,360 = 281,360/x
  3. Step 3: Cross multiply
    186,532x = 281,360 × 281,360
  4. Step 4: Simplify right side
    186,532x = 79,163,449,600
  5. Step 5: Solve for x
    x = 79,163,449,600/186,532
  6. Step 6: Final answer
    x = 424,396.08

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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.