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Finding the Third Proportional to 186,819.75 and 282,440.25

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Solution

The third proportional to 186,819.75 and 282,440.25 is: 427,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,819.75 : 282,440.25 = 282,440.25 : x
  2. Step 2: Convert to fraction form
    186,819.75/282,440.25 = 282,440.25/x
  3. Step 3: Cross multiply
    186,819.75x = 282,440.25 × 282,440.25
  4. Step 4: Simplify right side
    186,819.75x = 79,772,494,820.06
  5. Step 5: Solve for x
    x = 79,772,494,820.06/186,819.75
  6. Step 6: Final answer
    x = 427,002.47

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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.