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Finding the Third Proportional to 186,936 and 282,634.50

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Solution

The third proportional to 186,936 and 282,634.50 is: 427,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,936 : 282,634.50 = 282,634.50 : x
  2. Step 2: Convert to fraction form
    186,936/282,634.50 = 282,634.50/x
  3. Step 3: Cross multiply
    186,936x = 282,634.50 × 282,634.50
  4. Step 4: Simplify right side
    186,936x = 79,882,260,590.25
  5. Step 5: Solve for x
    x = 79,882,260,590.25/186,936
  6. Step 6: Final answer
    x = 427,324.11

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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.