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Finding the Third Proportional to 194,421.13 and 404,361.63

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Solution

The third proportional to 194,421.13 and 404,361.63 is: 841,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,421.13 : 404,361.63 = 404,361.63 : x
  2. Step 2: Convert to fraction form
    194,421.13/404,361.63 = 404,361.63/x
  3. Step 3: Cross multiply
    194,421.13x = 404,361.63 × 404,361.63
  4. Step 4: Simplify right side
    194,421.13x = 163,508,323,772.64
  5. Step 5: Solve for x
    x = 163,508,323,772.64/194,421.13
  6. Step 6: Final answer
    x = 841,000.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.