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Finding the Third Proportional to 221,260 and 341,694

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Solution

The third proportional to 221,260 and 341,694 is: 527,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,260 : 341,694 = 341,694 : x
  2. Step 2: Convert to fraction form
    221,260/341,694 = 341,694/x
  3. Step 3: Cross multiply
    221,260x = 341,694 × 341,694
  4. Step 4: Simplify right side
    221,260x = 116,754,789,636
  5. Step 5: Solve for x
    x = 116,754,789,636/221,260
  6. Step 6: Final answer
    x = 527,681.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.