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Finding the Third Proportional to 94,820 and 209,400

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Solution

The third proportional to 94,820 and 209,400 is: 462,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,820 : 209,400 = 209,400 : x
  2. Step 2: Convert to fraction form
    94,820/209,400 = 209,400/x
  3. Step 3: Cross multiply
    94,820x = 209,400 × 209,400
  4. Step 4: Simplify right side
    94,820x = 43,848,360,000
  5. Step 5: Solve for x
    x = 43,848,360,000/94,820
  6. Step 6: Final answer
    x = 462,437.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.