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Finding the Third Proportional to 233,462 and 339,987

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Solution

The third proportional to 233,462 and 339,987 is: 495,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,462 : 339,987 = 339,987 : x
  2. Step 2: Convert to fraction form
    233,462/339,987 = 339,987/x
  3. Step 3: Cross multiply
    233,462x = 339,987 × 339,987
  4. Step 4: Simplify right side
    233,462x = 115,591,160,169
  5. Step 5: Solve for x
    x = 115,591,160,169/233,462
  6. Step 6: Final answer
    x = 495,117.66

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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.