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Finding the Third Proportional to 193,244.06 and 284,085.84

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Solution

The third proportional to 193,244.06 and 284,085.84 is: 417,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,244.06 : 284,085.84 = 284,085.84 : x
  2. Step 2: Convert to fraction form
    193,244.06/284,085.84 = 284,085.84/x
  3. Step 3: Cross multiply
    193,244.06x = 284,085.84 × 284,085.84
  4. Step 4: Simplify right side
    193,244.06x = 80,704,766,619.15
  5. Step 5: Solve for x
    x = 80,704,766,619.15/193,244.06
  6. Step 6: Final answer
    x = 417,631.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.