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Finding the Third Proportional to 194,222 and 423,749

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Solution

The third proportional to 194,222 and 423,749 is: 924,525.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,222 : 423,749 = 423,749 : x
  2. Step 2: Convert to fraction form
    194,222/423,749 = 423,749/x
  3. Step 3: Cross multiply
    194,222x = 423,749 × 423,749
  4. Step 4: Simplify right side
    194,222x = 179,563,215,001
  5. Step 5: Solve for x
    x = 179,563,215,001/194,222
  6. Step 6: Final answer
    x = 924,525.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.