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Finding the Third Proportional to 194,299.69 and 420,199.88

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Solution

The third proportional to 194,299.69 and 420,199.88 is: 908,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,299.69 : 420,199.88 = 420,199.88 : x
  2. Step 2: Convert to fraction form
    194,299.69/420,199.88 = 420,199.88/x
  3. Step 3: Cross multiply
    194,299.69x = 420,199.88 × 420,199.88
  4. Step 4: Simplify right side
    194,299.69x = 176,567,934,950.02
  5. Step 5: Solve for x
    x = 176,567,934,950.02/194,299.69
  6. Step 6: Final answer
    x = 908,740.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.