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Finding the Third Proportional to 194,926.50 and 405,175.50

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Solution

The third proportional to 194,926.50 and 405,175.50 is: 842,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,926.50 : 405,175.50 = 405,175.50 : x
  2. Step 2: Convert to fraction form
    194,926.50/405,175.50 = 405,175.50/x
  3. Step 3: Cross multiply
    194,926.50x = 405,175.50 × 405,175.50
  4. Step 4: Simplify right side
    194,926.50x = 164,167,185,800.25
  5. Step 5: Solve for x
    x = 164,167,185,800.25/194,926.50
  6. Step 6: Final answer
    x = 842,200.45

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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.