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Finding the Third Proportional to 194,260 and 423,824

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Solution

The third proportional to 194,260 and 423,824 is: 924,672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,260 : 423,824 = 423,824 : x
  2. Step 2: Convert to fraction form
    194,260/423,824 = 423,824/x
  3. Step 3: Cross multiply
    194,260x = 423,824 × 423,824
  4. Step 4: Simplify right side
    194,260x = 179,626,782,976
  5. Step 5: Solve for x
    x = 179,626,782,976/194,260
  6. Step 6: Final answer
    x = 924,672.00

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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.