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Finding the Third Proportional to 221,413 and 352,483

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Solution

The third proportional to 221,413 and 352,483 is: 561,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,413 : 352,483 = 352,483 : x
  2. Step 2: Convert to fraction form
    221,413/352,483 = 352,483/x
  3. Step 3: Cross multiply
    221,413x = 352,483 × 352,483
  4. Step 4: Simplify right side
    221,413x = 124,244,265,289
  5. Step 5: Solve for x
    x = 124,244,265,289/221,413
  6. Step 6: Final answer
    x = 561,142.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.