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Finding the Third Proportional to 192,239 and 421,498

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Solution

The third proportional to 192,239 and 421,498 is: 924,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,239 : 421,498 = 421,498 : x
  2. Step 2: Convert to fraction form
    192,239/421,498 = 421,498/x
  3. Step 3: Cross multiply
    192,239x = 421,498 × 421,498
  4. Step 4: Simplify right side
    192,239x = 177,660,564,004
  5. Step 5: Solve for x
    x = 177,660,564,004/192,239
  6. Step 6: Final answer
    x = 924,165.04

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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.