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Finding the Third Proportional to 194,933.46 and 420,006.52

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Solution

The third proportional to 194,933.46 and 420,006.52 is: 904,952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,933.46 : 420,006.52 = 420,006.52 : x
  2. Step 2: Convert to fraction form
    194,933.46/420,006.52 = 420,006.52/x
  3. Step 3: Cross multiply
    194,933.46x = 420,006.52 × 420,006.52
  4. Step 4: Simplify right side
    194,933.46x = 176,405,473,167.45
  5. Step 5: Solve for x
    x = 176,405,473,167.45/194,933.46
  6. Step 6: Final answer
    x = 904,952.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.