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Finding the Third Proportional to 192,387 and 421,674

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Solution

The third proportional to 192,387 and 421,674 is: 924,225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,387 : 421,674 = 421,674 : x
  2. Step 2: Convert to fraction form
    192,387/421,674 = 421,674/x
  3. Step 3: Cross multiply
    192,387x = 421,674 × 421,674
  4. Step 4: Simplify right side
    192,387x = 177,808,962,276
  5. Step 5: Solve for x
    x = 177,808,962,276/192,387
  6. Step 6: Final answer
    x = 924,225.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.