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Finding the Third Proportional to 240,554 and 341,927

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Solution

The third proportional to 240,554 and 341,927 is: 486,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,554 : 341,927 = 341,927 : x
  2. Step 2: Convert to fraction form
    240,554/341,927 = 341,927/x
  3. Step 3: Cross multiply
    240,554x = 341,927 × 341,927
  4. Step 4: Simplify right side
    240,554x = 116,914,073,329
  5. Step 5: Solve for x
    x = 116,914,073,329/240,554
  6. Step 6: Final answer
    x = 486,020.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.