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Finding the Third Proportional to 221,828 and 340,972

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Solution

The third proportional to 221,828 and 340,972 is: 524,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,828 : 340,972 = 340,972 : x
  2. Step 2: Convert to fraction form
    221,828/340,972 = 340,972/x
  3. Step 3: Cross multiply
    221,828x = 340,972 × 340,972
  4. Step 4: Simplify right side
    221,828x = 116,261,904,784
  5. Step 5: Solve for x
    x = 116,261,904,784/221,828
  6. Step 6: Final answer
    x = 524,108.34

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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.