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Finding the Third Proportional to 186,566.50 and 281,411

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Solution

The third proportional to 186,566.50 and 281,411 is: 424,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,566.50 : 281,411 = 281,411 : x
  2. Step 2: Convert to fraction form
    186,566.50/281,411 = 281,411/x
  3. Step 3: Cross multiply
    186,566.50x = 281,411 × 281,411
  4. Step 4: Simplify right side
    186,566.50x = 79,192,150,921
  5. Step 5: Solve for x
    x = 79,192,150,921/186,566.50
  6. Step 6: Final answer
    x = 424,471.44

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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.