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Finding the Third Proportional to 193,684.50 and 272,269.13

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Solution

The third proportional to 193,684.50 and 272,269.13 is: 382,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,684.50 : 272,269.13 = 272,269.13 : x
  2. Step 2: Convert to fraction form
    193,684.50/272,269.13 = 272,269.13/x
  3. Step 3: Cross multiply
    193,684.50x = 272,269.13 × 272,269.13
  4. Step 4: Simplify right side
    193,684.50x = 74,130,476,428.27
  5. Step 5: Solve for x
    x = 74,130,476,428.27/193,684.50
  6. Step 6: Final answer
    x = 382,738.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.