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Finding the Third Proportional to 168,288 and 359,028

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Solution

The third proportional to 168,288 and 359,028 is: 765,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,288 : 359,028 = 359,028 : x
  2. Step 2: Convert to fraction form
    168,288/359,028 = 359,028/x
  3. Step 3: Cross multiply
    168,288x = 359,028 × 359,028
  4. Step 4: Simplify right side
    168,288x = 128,901,104,784
  5. Step 5: Solve for x
    x = 128,901,104,784/168,288
  6. Step 6: Final answer
    x = 765,955.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.