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Finding the Third Proportional to 233,832 and 353,718

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Solution

The third proportional to 233,832 and 353,718 is: 535,069.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,832 : 353,718 = 353,718 : x
  2. Step 2: Convert to fraction form
    233,832/353,718 = 353,718/x
  3. Step 3: Cross multiply
    233,832x = 353,718 × 353,718
  4. Step 4: Simplify right side
    233,832x = 125,116,423,524
  5. Step 5: Solve for x
    x = 125,116,423,524/233,832
  6. Step 6: Final answer
    x = 535,069.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.