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Finding the Third Proportional to 186,192 and 284,796

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Solution

The third proportional to 186,192 and 284,796 is: 435,618.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,192 : 284,796 = 284,796 : x
  2. Step 2: Convert to fraction form
    186,192/284,796 = 284,796/x
  3. Step 3: Cross multiply
    186,192x = 284,796 × 284,796
  4. Step 4: Simplify right side
    186,192x = 81,108,761,616
  5. Step 5: Solve for x
    x = 81,108,761,616/186,192
  6. Step 6: Final answer
    x = 435,618.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.