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Finding the Third Proportional to 131,483 and 193,024

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Solution

The third proportional to 131,483 and 193,024 is: 283,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,483 : 193,024 = 193,024 : x
  2. Step 2: Convert to fraction form
    131,483/193,024 = 193,024/x
  3. Step 3: Cross multiply
    131,483x = 193,024 × 193,024
  4. Step 4: Simplify right side
    131,483x = 37,258,264,576
  5. Step 5: Solve for x
    x = 37,258,264,576/131,483
  6. Step 6: Final answer
    x = 283,369.44

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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.