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Finding the Third Proportional to 192,362 and 413,128

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Solution

The third proportional to 192,362 and 413,128 is: 887,258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,362 : 413,128 = 413,128 : x
  2. Step 2: Convert to fraction form
    192,362/413,128 = 413,128/x
  3. Step 3: Cross multiply
    192,362x = 413,128 × 413,128
  4. Step 4: Simplify right side
    192,362x = 170,674,744,384
  5. Step 5: Solve for x
    x = 170,674,744,384/192,362
  6. Step 6: Final answer
    x = 887,258.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.