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Finding the Third Proportional to 193.03 and 507.84

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Solution

The third proportional to 193.03 and 507.84 is: 1,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.03 : 507.84 = 507.84 : x
  2. Step 2: Convert to fraction form
    193.03/507.84 = 507.84/x
  3. Step 3: Cross multiply
    193.03x = 507.84 × 507.84
  4. Step 4: Simplify right side
    193.03x = 257,905.27
  5. Step 5: Solve for x
    x = 257,905.27/193.03
  6. Step 6: Final answer
    x = 1,336.08

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.