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Finding the Third Proportional to 171,352 and 368,960

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Solution

The third proportional to 171,352 and 368,960 is: 794,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,352 : 368,960 = 368,960 : x
  2. Step 2: Convert to fraction form
    171,352/368,960 = 368,960/x
  3. Step 3: Cross multiply
    171,352x = 368,960 × 368,960
  4. Step 4: Simplify right side
    171,352x = 136,131,481,600
  5. Step 5: Solve for x
    x = 136,131,481,600/171,352
  6. Step 6: Final answer
    x = 794,455.17

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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.