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Finding the Third Proportional to 233,466 and 339,993

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Solution

The third proportional to 233,466 and 339,993 is: 495,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,466 : 339,993 = 339,993 : x
  2. Step 2: Convert to fraction form
    233,466/339,993 = 339,993/x
  3. Step 3: Cross multiply
    233,466x = 339,993 × 339,993
  4. Step 4: Simplify right side
    233,466x = 115,595,240,049
  5. Step 5: Solve for x
    x = 115,595,240,049/233,466
  6. Step 6: Final answer
    x = 495,126.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.