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Finding the Third Proportional to 233,460 and 339,984

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Solution

The third proportional to 233,460 and 339,984 is: 495,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,460 : 339,984 = 339,984 : x
  2. Step 2: Convert to fraction form
    233,460/339,984 = 339,984/x
  3. Step 3: Cross multiply
    233,460x = 339,984 × 339,984
  4. Step 4: Simplify right side
    233,460x = 115,589,120,256
  5. Step 5: Solve for x
    x = 115,589,120,256/233,460
  6. Step 6: Final answer
    x = 495,113.17

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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.