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Finding the Third Proportional to 193,340 and 424,768

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Solution

The third proportional to 193,340 and 424,768 is: 933,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,340 : 424,768 = 424,768 : x
  2. Step 2: Convert to fraction form
    193,340/424,768 = 424,768/x
  3. Step 3: Cross multiply
    193,340x = 424,768 × 424,768
  4. Step 4: Simplify right side
    193,340x = 180,427,853,824
  5. Step 5: Solve for x
    x = 180,427,853,824/193,340
  6. Step 6: Final answer
    x = 933,215.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.