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Finding the Third Proportional to 170,953.50 and 363,048

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Solution

The third proportional to 170,953.50 and 363,048 is: 770,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,953.50 : 363,048 = 363,048 : x
  2. Step 2: Convert to fraction form
    170,953.50/363,048 = 363,048/x
  3. Step 3: Cross multiply
    170,953.50x = 363,048 × 363,048
  4. Step 4: Simplify right side
    170,953.50x = 131,803,850,304
  5. Step 5: Solve for x
    x = 131,803,850,304/170,953.50
  6. Step 6: Final answer
    x = 770,992.41

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.