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Finding the Third Proportional to 221,314 and 341,735

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Solution

The third proportional to 221,314 and 341,735 is: 527,679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,314 : 341,735 = 341,735 : x
  2. Step 2: Convert to fraction form
    221,314/341,735 = 341,735/x
  3. Step 3: Cross multiply
    221,314x = 341,735 × 341,735
  4. Step 4: Simplify right side
    221,314x = 116,782,810,225
  5. Step 5: Solve for x
    x = 116,782,810,225/221,314
  6. Step 6: Final answer
    x = 527,679.27

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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.