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Finding the Third Proportional to 170,178.47 and 362,712.94

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Solution

The third proportional to 170,178.47 and 362,712.94 is: 773,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,178.47 : 362,712.94 = 362,712.94 : x
  2. Step 2: Convert to fraction form
    170,178.47/362,712.94 = 362,712.94/x
  3. Step 3: Cross multiply
    170,178.47x = 362,712.94 × 362,712.94
  4. Step 4: Simplify right side
    170,178.47x = 131,560,675,029.88
  5. Step 5: Solve for x
    x = 131,560,675,029.88/170,178.47
  6. Step 6: Final answer
    x = 773,074.74

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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.