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Finding the Third Proportional to 193,479.56 and 293,140.41

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Solution

The third proportional to 193,479.56 and 293,140.41 is: 444,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,479.56 : 293,140.41 = 293,140.41 : x
  2. Step 2: Convert to fraction form
    193,479.56/293,140.41 = 293,140.41/x
  3. Step 3: Cross multiply
    193,479.56x = 293,140.41 × 293,140.41
  4. Step 4: Simplify right side
    193,479.56x = 85,931,297,776.42
  5. Step 5: Solve for x
    x = 85,931,297,776.42/193,479.56
  6. Step 6: Final answer
    x = 444,136.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.