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Finding the Third Proportional to 223,868 and 354,477

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Solution

The third proportional to 223,868 and 354,477 is: 561,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,868 : 354,477 = 354,477 : x
  2. Step 2: Convert to fraction form
    223,868/354,477 = 354,477/x
  3. Step 3: Cross multiply
    223,868x = 354,477 × 354,477
  4. Step 4: Simplify right side
    223,868x = 125,653,943,529
  5. Step 5: Solve for x
    x = 125,653,943,529/223,868
  6. Step 6: Final answer
    x = 561,285.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.