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Finding the Third Proportional to 194,220 and 423,745

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Solution

The third proportional to 194,220 and 423,745 is: 924,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,220 : 423,745 = 423,745 : x
  2. Step 2: Convert to fraction form
    194,220/423,745 = 423,745/x
  3. Step 3: Cross multiply
    194,220x = 423,745 × 423,745
  4. Step 4: Simplify right side
    194,220x = 179,559,825,025
  5. Step 5: Solve for x
    x = 179,559,825,025/194,220
  6. Step 6: Final answer
    x = 924,517.69

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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.