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Finding the Third Proportional to 103,324 and 219,040

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Solution

The third proportional to 103,324 and 219,040 is: 464,350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,324 : 219,040 = 219,040 : x
  2. Step 2: Convert to fraction form
    103,324/219,040 = 219,040/x
  3. Step 3: Cross multiply
    103,324x = 219,040 × 219,040
  4. Step 4: Simplify right side
    103,324x = 47,978,521,600
  5. Step 5: Solve for x
    x = 47,978,521,600/103,324
  6. Step 6: Final answer
    x = 464,350.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.