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Finding the Third Proportional to 155,933.50 and 369,996

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Solution

The third proportional to 155,933.50 and 369,996 is: 877,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,933.50 : 369,996 = 369,996 : x
  2. Step 2: Convert to fraction form
    155,933.50/369,996 = 369,996/x
  3. Step 3: Cross multiply
    155,933.50x = 369,996 × 369,996
  4. Step 4: Simplify right side
    155,933.50x = 136,897,040,016
  5. Step 5: Solve for x
    x = 136,897,040,016/155,933.50
  6. Step 6: Final answer
    x = 877,919.37

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.