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Finding the Third Proportional to 233,892 and 355,758

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Solution

The third proportional to 233,892 and 355,758 is: 541,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,892 : 355,758 = 355,758 : x
  2. Step 2: Convert to fraction form
    233,892/355,758 = 355,758/x
  3. Step 3: Cross multiply
    233,892x = 355,758 × 355,758
  4. Step 4: Simplify right side
    233,892x = 126,563,754,564
  5. Step 5: Solve for x
    x = 126,563,754,564/233,892
  6. Step 6: Final answer
    x = 541,120.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.