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Finding the Third Proportional to 223,787 and 341,525

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Solution

The third proportional to 223,787 and 341,525 is: 521,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,787 : 341,525 = 341,525 : x
  2. Step 2: Convert to fraction form
    223,787/341,525 = 341,525/x
  3. Step 3: Cross multiply
    223,787x = 341,525 × 341,525
  4. Step 4: Simplify right side
    223,787x = 116,639,325,625
  5. Step 5: Solve for x
    x = 116,639,325,625/223,787
  6. Step 6: Final answer
    x = 521,206.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.