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Finding the Third Proportional to 193,038 and 427,386

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Solution

The third proportional to 193,038 and 427,386 is: 946,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,038 : 427,386 = 427,386 : x
  2. Step 2: Convert to fraction form
    193,038/427,386 = 427,386/x
  3. Step 3: Cross multiply
    193,038x = 427,386 × 427,386
  4. Step 4: Simplify right side
    193,038x = 182,658,792,996
  5. Step 5: Solve for x
    x = 182,658,792,996/193,038
  6. Step 6: Final answer
    x = 946,232.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.