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Finding the Third Proportional to 155,538 and 230,024

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Solution

The third proportional to 155,538 and 230,024 is: 340,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,538 : 230,024 = 230,024 : x
  2. Step 2: Convert to fraction form
    155,538/230,024 = 230,024/x
  3. Step 3: Cross multiply
    155,538x = 230,024 × 230,024
  4. Step 4: Simplify right side
    155,538x = 52,911,040,576
  5. Step 5: Solve for x
    x = 52,911,040,576/155,538
  6. Step 6: Final answer
    x = 340,180.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.