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Finding the Third Proportional to 221,326 and 341,753

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Solution

The third proportional to 221,326 and 341,753 is: 527,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,326 : 341,753 = 341,753 : x
  2. Step 2: Convert to fraction form
    221,326/341,753 = 341,753/x
  3. Step 3: Cross multiply
    221,326x = 341,753 × 341,753
  4. Step 4: Simplify right side
    221,326x = 116,795,113,009
  5. Step 5: Solve for x
    x = 116,795,113,009/221,326
  6. Step 6: Final answer
    x = 527,706.25

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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.