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Finding the Third Proportional to 223,802 and 354,394

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Solution

The third proportional to 223,802 and 354,394 is: 561,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,802 : 354,394 = 354,394 : x
  2. Step 2: Convert to fraction form
    223,802/354,394 = 354,394/x
  3. Step 3: Cross multiply
    223,802x = 354,394 × 354,394
  4. Step 4: Simplify right side
    223,802x = 125,595,107,236
  5. Step 5: Solve for x
    x = 125,595,107,236/223,802
  6. Step 6: Final answer
    x = 561,188.49

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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.