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Finding the Third Proportional to 221,040 and 341,352

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Solution

The third proportional to 221,040 and 341,352 is: 527,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,040 : 341,352 = 341,352 : x
  2. Step 2: Convert to fraction form
    221,040/341,352 = 341,352/x
  3. Step 3: Cross multiply
    221,040x = 341,352 × 341,352
  4. Step 4: Simplify right side
    221,040x = 116,521,187,904
  5. Step 5: Solve for x
    x = 116,521,187,904/221,040
  6. Step 6: Final answer
    x = 527,149.78

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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.